Subtract andDivide 12x4 by 2x. Multiply (2x + 3) by 6Subtract and bring down the next termDivide -18x3 by 2x. Multiply (2x + 3) by -9Subtract and bring down the next term.Divide 34x2 by 2x. Multiply (2x +3) by 17xSubtract and bring down the next term.Divide -52x by 2x. Multiply (2x + 3) by -26.Subtract. Then that's the remainder.3.4.6.I Can Do This!Divide the given polynomials. Show your complete solution. Andexpress your answer in the form P(x) = Q(x) D(x) + R(x)1.(x° + 2x? -x -2) + (x - 1)2.(x + 2x + 6x +4x² + 9x° - 2) (x + 2)3.(4x + 16x- 7x - 9) (2x + 3)445.

Given: Three polynomials: 1. x3+2x2-x-2÷x-1 Px=QxDx+Rxx3+2x2-x-2=x3+3x+2x-1+0

Divide the given polynomials. Show your complete solution. And express your answer in the form P(x) = Q(x) D(x) + R(x) (x + 2x – x - 2) + (x - 1) 1. 2. (x5 + 2x + 6x + 4x² + 9x° - 2) + (x + 2) (4x + 16x - 7x - 9) + (2x + 3) 3.

Divide the given polynomials. Show your complete solution. And express your answer in the form P(x) = Q(x) D(x) + R(x) (x + 2x – x - 2) + (x - 1) 1. 2. (x5 + 2x + 6x + 4x² + 9x° - 2) + (x + 2) (4x + 16x - 7x - 9) + (2x + 3) 3.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter5: Factoring Polynomials

Section5.13: Using Factoring To Solve Problems

Problem 2E

See similar textbooks

Related questions

Q: B. Find the integral zeros of the following polynomial equations. 1. x-19x - 30 = 0 2. x + 5x2 - 2-…

A: we solve this problem using synthetic division, look at step 2

Q: I the zeros of the given quadratic polynomials, and verify the relationship between the oefficient…

A: Explanation and solutions is given below.....

Q: Find a, b, c E R such that the polynomial f(x) = x³ + ax? + bx + c is divisible by g1(x) = x + 2 and…

A: The remainder theorem says that when a polynomial px is divided by x-a. The remainder is obtained as…

Q: Find a polynomial function with real coefficients that has the given zeros.4, −3i

A: Given: Zeros: 4, -3i

Q: A fourth degree polynomial equation is shown below. (4x2 - 8x - 5) (3x² – 7x-6)=0 Which of the…

A: 4x2-8x-53x2-7x-6=0

Q: Find all the real roots of the following polynomial equation. 1.) (3x+2)(x2-25)=0 2.)…

A: As per bartleby guidelines we only give first question answers.

Q: Vhích polynomial would produce the following grap 5 4 3 2 -5 -4 -3 5 -2 -3 -4 -5 y= - x( x - 1)( x -…

A: Given the figure,

Q: Find the number of zeroes of the given polynomials and also find their value p(x)=2x+1 q(y)=y2-1

Q: Given f(x) = (x−2)^3(−x+ 1)^7(2x+ 6)^2(x+ 4) determine the following: (a) What is the leading (or…

A: The given function is- f(x) = (x−2)3(−x+ 1)7(2x+ 6)2(x+ 4) (a) The leading term of the polynomial is…

Q: 4. The polynomial equation whose roots are {-1, - ½ and 3} is А. 2х3- Зx2 - 8х-3%3D0 В. х3 - 6х2 - х…

Q: Find a polynomial (x) of degree 4 that has the following zeros. 7, -6, 0, -3 Leave your answer in…

A: Given Zeros of the 4th degree polynomial are 7,-6, 0 and -3. Note: If a, b, c and d are the zeros…

Q: 9. For the polynomial f(x) = x(3x + 1)(x – 2)², determine the leading coefficient, leading term,…

A: Given: fx=x3x+1x-22 Now solve the parenthesis we get, ⇒fx=3x4-11x3+8x2+4x ...(1)…

Q: Find a, b, c E R such that the polynomial f(x) = x³ + ax? + bx + c is divisible by g1 (x) = x + 2…

A: The given question is related with polynomials. Given that, fx = x3 + ax2 + bx + c…

Q: Which polynomial function would have the end behaviour of as x→ too, Y→ co? a) f(x) = 7x³ - 8x* -…

A: Topic = Functions

Q: Use the graph of the polynomial function f(x) (a) to solve f(x) = 0, and (b) find the factorization…

Q: Find a polynomial function with real coefficients that has the given zeros: 1,1, 2+√3i.

Q: H.W:- find the root of the polynomial below:- 5 x³+ 4x1-3x³+2x²+x+1=0

A: The roots of a polynomial are those values of the variable that cause the polynomial to evaluate to…

Q: C. Pick the correct roots/zeros in the following polynomial equations: 1. x-7x+ 6 0 (6, -1, 2 1,…

Q: 11.Solve the following polynomial equations. a) 2X3+1=x2+2X b) x3+6x2+11x+6=0 C)x5-4x3-x2+4=0

A: Since you have asked multiple subpart, as per our guideline We are supposed to answer only first 3…

Q: A. Determine the factors of the given polynomial. 1. х3 + 2х2 -5х-6 2. х3 + x2- х-1 3. x3- x2- 10x-8

Q: Find a polynomial of degree 3 that has zeros of 3,-4, and 5, and where the coefficient of x2 is 8. O…

A: Given that the zeros are 3, -4 and 5. So the factors of the polynomial is (x-3), (x+4) and (x-5)…

Q: Given p(x)=(x-4)^5 (x+1)(x-2)^3State the zeros and their multiplicities. What is the degreeof the…

A: Given:The function is, p(x) = (x−4)5(x+1)(x−2)3.

Q: 1. Find all the remaining zeros of this polynomial function 2 = x' + x° + 7x´ + 9x – 18, 3 if one…

A: To find all the remaining zeros of this polynomial function.Px=x4+x3+7x2+9x-18, if one zero is 3i.

Q: 6. Suppose the polynomial function has the given root. Find the other roots (a) f(x) = 2r3 – 4x2 –…

Q: Given that the polynomials has the given roots, find the other roots. 1. F(x)= x^3+5x^2-2x-10.…

A: As you have asked a question containing multiple subparts and not mentioning which subparts to be…

Q: 2) x- 7メ r Sx3 +93 ×2 イ2x-72=0 R) x5-2x4 -15x°t 10×*+イX-18=0

Q: 2) The polynomial function f(x) = x³ – 4x² + ax – 12 has (x – 4) as one of its factors. What would…

Q: 1 is a zero of the polynomial P(x)= x³ – 3x* + 7x³ – 13x² + 12x – 4 of multiplicity (а) 3 (b) 5 (c)…

A: Let's find x value.

Q: The number of zeros of the polynomial x² + 3x + 2 in Zg is: None O 2

Q: If alpha and beta are zeroes of the quadratic polynomial x2 -6x + y. Find the value of the of y if…

Q: C) Find a polynomial of degree 2 that has two irrational zeros

Q: Simplify P(x) + Q(x). * P(x) and Q(x) are polynomials whereP(x) = 2x- 5x + 4 and Q(x) = 3x- 10. %3D…

A: given: Px=2x2-5x+4 and Qx=3x-10

Q: Find the Third degree Taylar polynomial To (x) centered at a-1 for the function fCx) = ã…

Q: Find the equation of the polynomial with roots √2 and -5i, real coefficients, and passing through…

Q: Which polynomial would have the following end behavior? x+ -00, f(x) - -00 x+ 0o, f(x) → -00 A y =…

Q: Given the solution below, what is the polynomial in factored form? 3 T = -, x = -5 %3D 4 Factored…

A: Solution: Polynomial in factor form is a product of its factor.

Q: • Consider the polynomial P(x) = x³ – 4x² + ax – 3. Find a if, when P(x) is divided by r +1, the…

A: I am just solving the first two question (1) Given that the polynomial P(x) = x3-4x2+ax-3 , is…

Q: 8. Find the sum of all the zeros of the polynomial f(x) = x + 2x2-5x-6 O -5 -2 0. 2 6

A: Given equation is fx = x3+2x2-5x-6Comparing it with ax3+bx2+cx+d = 0a = 1, b = 2, c = -5, d = -6

Q: 2. Which polynomial function would have the end behaviour of as, x → Ax) = 7x - 8x* - 2x +x + 3x - 2…

A: topic - polynomials The end behavior of a polynomial function is the behavior of the graph of…

Q: Match the polynomial with its end behavior. А: f(x) =-2x + 3 B: f(x) = x² – 6x +3 C: f(x) = 1 – x? +…

Q: P(X)=3X^5+4X^3+2X^2+3X-6 How many real zeros does the above polynomial have?

Q: Which of the following polynomial functions has the roots 3, -1, 1, 4? a. P(x)= x4 - x3 + 13x2 -…

A: The general form of a polynomial equation of degree n is given by a0xn+a1x1....+an-1x+an=0. The root…

Q: Consider the polynomial g(x) (x - 1)(2x + 1)(3z –1)(5x + 1). A. What are the roots of g? B. Suppose…

Q: Consider the polynomial function P(x) = x* – 3x³ + ax² – 6x + 14, where a is an unknown real number.…

A: Given, Px = x4-3x3+ax2-6x+14 a is an unknown real number . x-2 is a factor of the polynomial. We…

Q: 2. Find the sum of the coefficients of the polynomial obtained by fully expanding (x - 2). С. 1 А.-2…

Q: 2. Determine the exact real roots for the polynomial equations. a) 8x¹ + x = 0 b) x³ = 5x - 4

Q: The value of f(3) for the polynomial f(x)=x3+x2-5x+3 is 24. What does this mean in terms of…

A: Given: f(x) = x3+x2-5x+3 Now we have f(3) = 24

Q: determine the degree of the given polynomials. -x2y + 2xy2 - xy

A: Given the polynomials -x2y+2xy2-xy

Q: Find an equation with real coefficients for the polynomial that passes through the point (0,…

A: we have to find an equation with real coefficients for the polynomial that passes through the point…

Q: Q1. How many bends are there in the roller coaster? Q2. In the given domain, how many times does…

Question

Subtract and
Divide 12x4 by 2x. Multiply (2x + 3) by 6
Subtract and bring down the next term
Divide -18x3 by 2x. Multiply (2x + 3) by -9
Subtract and bring down the next term.
Divide 34x2 by 2x. Multiply (2x +3) by 17x
Subtract and bring down the next term.
Divide -52x by 2x. Multiply (2x + 3) by -26.
Subtract. Then that's the remainder.
3.
4.
6.
I Can Do This!
Divide the given polynomials. Show your complete solution. And
express your answer in the form P(x) = Q(x) D(x) + R(x)
1.
(x° + 2x? -x -2) + (x - 1)
2.
(x + 2x + 6x +4x² + 9x° - 2) (x + 2)
3.
(4x + 16x- 7x - 9) (2x + 3)
44
5.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Interpolation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.