Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express the quotient P(x)/D(x) in the form P(x) D(x) = Q(x) + R(x) D(x). P(x) = 8x4 − 4x3 + 38x2, D(x) = 4x2 + 17 P(x) D(x) =

Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express the quotient P(x)/D(x) in the form P(x) D(x) = Q(x) + R(x) D(x). P(x) = 8x4 − 4x3 + 38x2, D(x) = 4x2 + 17 P(x) D(x) =

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.3: Dividing Polynomials

Problem 1E: If we divide the polynomial P by the factor xc and we obtain the equation P(x)=(xc)Q(x)+R(x), then...

See similar textbooks

Related questions

Q: Two polynomials P and D are given. use either synthetic division or long division to divide P(x) by…

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

Q: Two polynomial P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

Q: Given:g(x) = x3 + 3x2 − 2x − 6.(a) use the zero or root feature of a graphing utility to approximate…

A: First, plot the graph of the function y=x3+3x2-2x-6 and find one of the zeros, and then, divide the…

Q: • performs division of polynomials using long division and synthetic division. LONG DIVISION e.g. 1.…

Q: A polynomial P(X) and a divisor d{x) are given. Use long division to find the quotient Q(x) and the…

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

A: We will use long division

Q: Given:g(x) = 6x4 − 11x3 − 51x2 + 99x − 27.(a) use the zero or root feature of a graphing utility to…

A: Given the equation y=g(x)=6x4 -11x3 -51x2 +99x -27 a)Graphing utility to approximate the zeros:

Q: Use polynomial long division to find the oblique asymptote of f. f(x)= (12x^3+6x^2+3x+2)/2x^2+2

A: To use polynomial long division to find the oblique asymptote of f. f(x)=12x3+6x2+3x+22x2+2

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x),…

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x),…

A: Given:

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

A: Given P(x) = x5 + x4 − 8x3 + 7x + 7, D(x) = x2 + x − 1

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

Q: Use long division and express P in the form P(x) = D(x) · Q(x) + R(x). P(x) = 20x4 + 16x3 + 9x2,…

A: Explanation: Given that, P(x) = 20x4 + 16x3 + 9x2, D(x) = 4x2 + 1 We will follow some steps to…

Q: (b) Factor P completely and find all its zeros. (Use Synthetic division)

Q: Consider the polynomial Division (x3+5x2-7x−4)÷(x−2) The correct Answer is: hint the answers…

A: x3+5x2-7x-4÷x-2 On dividing, we get x-2)x3+5x2-7x-4(x2+7x+7 x3-2x2 7x2-7x…

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

A: Steps to follow for Long division of polynomials: 1) First arrange the indices of the polynomial in…

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x),…

A: The given polynomials P and D are,

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) b P(x)…

Q: Two polynomials P and D are given. Use either synthetic division or long division to divide p(x) by…

A: To divide the following, polynomials P(x) = x2 + 4x - 8 D(x) = x +3

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

A: Division of two Polynomials

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x),…

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

A: Given that: P(x)=2x3+4x2-2x-1, D(x)=x+3

Q: wo polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x),…

A: Given: Px=2x3+8x2-3x-1, Dx=x+5. We have to use either synthetic or long division to divide…

Q: Use synthetic division to find the value of ( x- 2) for P (x ) = x4 -4x2 + 2x - 4

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Use the remainder theorem to find P(-3) for P(x)=x'+3x´+3. Specifically, give the quotient and the…

A: We have to use the concept of Remainder theorem to solve this problem. The process is explained in…

Q: Use synthetic division to find P(-3) for P(x) = -2x* + 6x - x +1

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by…

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by Dx), and…

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

Q: 1) a. Apply Horner's rule to evaluate the polynomial p(x) = 3x5 - 2x¹ + x³ - 2x + 5 b. Use the…

A: a Given polynomial is px=3x5−2x4+x3−2x+5. We have to evaluate the given polynomial at x=-2. The…

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

A: Steps to follow for Long division of polynomials: 1) First arrange the indices of the polynomial in…

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

A: Given, P(x)=12x4+9x3+7x2, D(x)=3x2+1

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

A: given P(x)=4x^3+3x+7 D(x)=2x+1

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

A: Hi, we are providing a solution for the question posted. However please note that the question…

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

A: Given, Px=3x2-10x-2 Dx=x-3 We have to find PxDx=Qx+RxDx

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

A: We will use synthetic division Coefficients of P(x) = x4 + 2x3 − 19x are 1 , 2 , 0 ,-19 , 0 We…

Q: A polynomial P(x) and a divisor d(x) are given. Use long division to find the quotient Q(x) and the…

Q: Use the remainder theorem to find P (1) for P (x)=x"- 3x'+ 3x-6. Specifically, give the quotient and…

A: Given that: P(x)=x4-3x3+3x-6

Q: 10. Perform the polynomial division (x² + 3x – 10) ÷ (x – 2) using both the long division method and…

Q: 3. Use the remainder Theorem (synthetic division) to find P(5). P(x) = x* + 4x' + 7x? +10x+15

A: We have to find

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

A: Divide using long division method .

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

Q: 15. Given the polynomial x + 3x - 10x 24 , use synthetic division a). write all the factors of the…

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

A: Topic:- polynomial

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

A: by euclids p(x)=d(x)q(x)+r(x)

Question

Two polynomials P and D are given. Use either synthetic or long division to divide

P(x)

D(x),

and express the quotient

P(x)/D(x)

in the form

P(x)

D(x)

= Q(x) +

R(x)

D(x)

P(x) = 8x⁴ − 4x³ + 38x², D(x) = 4x² + 17

P(x)

D(x)

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Find the rational zeros of P(x)=3x310x2+9x2.
Use the Remainder Theorem to find the remainder when f(x)=x37x+12 is divided by x+3 .
The polynomial P(x)=5x2(x4)3(x+7) has degree ___________. It has zeros 0, 4, and ______________. The zero has multiplicity _________
If the polynomial function P(x)=anxn+an1xn1+....+a1x+ao< has integer coefficients. then the only numbers that could possibly be rational zeros of P are all of the form pq, where p is a factor of _________and q is a factor of _______________. The possible rational zeros of P(x)=6x3+5x219x10 are __________________________.