Is there a greatest common factor for all four of the terms of the polynomial? Factoring Polynomialsex1: 3x+x +12X+4MULTIPLE CHOICE QUESTIONIs there a GCF for all four terms of thepolynomial?yes, 3yes, xnoRewatchSubmit

Answered: Is there a greatest common factor for…

Math

Algebra

Is there a greatest common factor for all four of the terms of the polynomial?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter9: Solving Quadratic Functions

Section9.3: Solving Quadratic Equations Using Sqaure Roots

Problem 46E

See similar textbooks

Related questions

Q: Find the degree of the polynomial. x2 - 4x3 + 9x - 12x4 + 63

A: Degree of the polynomial is the highest power of variable in the expression.

Q: If a fifth-degree polynomial is divided by a second-degree polynomial, the quotient is a -degree…

A: Given

Q: A polynomial with four or more terms is called monomial binomial trinomial polynomial

Q: Factor completely 3x4 - 12x2, or state that the polynomial is prime.

Q: determine the degree of the given polynomials. 7x3 - 2x + 4

A: To find: The degree of the polynomial 7x3-2x+4. Given: The polynomial is 7x3-2x+4. Concept used: The…

Q: Find the degree and leading coefficient for the given polynomial. −2x2−7x4+x−8 Degree: Leading…

Q: How do you factor a polynomial with a leading coefficient greater than one?

A: For example, Take a quadratic polynomial

Q: Factor completely 3x4 - 9x3 - 30x2 , or state that the polynomial is prime.

A: If the polynomial is prime then it can not be factored. Factoring means changing a sum or…

Q: express 5x2 - 3x + 6 in terms of Legendre's polynomial.

Q: If a sixth-degree polynomial is divided by a third-degree polynomial, what is the degree of the…

A: We have to find the degree of the quotient polynomial If a sixth degree polynomial is divide by a…

Q: Find all zeros and factor

A: Here we have to find the factored form of function. And we have to find the zeroes of function. And…

Q: Find the degree of the polynomial: -9x+2x^7-3x^6-6

Q: determine the degree of the given polynomials. 5x2 - 7x - 2

A: The given polynomial is, 5x2-7x-2 We need to find the degree of the given polynomial. The degree of…

Q: Factor. If the polynomial is prime, so indicate. 4a^2 -4ab - 8b^2

Q: Find the degree of the polynomial. 3x2 - 5x + 4

A: 3x2-5x+4

Q: 2. Determine if the second polynomial is a factor of the first polynomial. f(x) = 2x' -11x² – 22x+7;…

A: (x-7) will be a factor of f(x) if on dividing f(x) by g(x) ,we get the remainder zero.

Q: Find the zeroes of the polynomial by factorization method 3x2+4x-4

A: The given equation is 3x^2+4^x-4 = 0

Q: What is the greatest common factor of the terms in the polynomial 24x^8 +12x^5 + 9x^2 A) 6 B) 3…

Q: We begin the process of factoring a polynomial by first factoring out the assuming that there is one…

A: Consider the given statement. Let's explain it by an example. Example. 3x2+6x Now, find the factor…

Q: Suppose that a polynomial contains four terms. Explain how to use factoring by grouping to factor…

A: Lets consider a polynomial P containing four terms: P=T1+T2+T3+T4 We groups 3 terms and leave the…

Q: Is there a way to eliminate some of the combinations of factors for a trinomial whose leading…

A: When we have the trinomial whose leading coefficient is 1 we can use the 'ac' method to factorize…

Q: Completely factor the polynomial: 6x? – 12x + 10x – 20 - -

A: Factorisation of the polynomial

Q: If a polynomial has a greatest common factor other than 1, explain how to find its GCF.

A: If a polynomial has a greatest common factor other than 1.

Q: Factor completely 25x2 - 9, or state that the polynomial is prime.

A: We will use the difference of the square method. a2 - b2 =(a+b)(a-b)

Q: Factor completely x2 + 16, or state that the polynomial is prime.

Q: 5x+21x° -LX+Xナ4X+L

Q: find the degree of the polynomial. -2x3 + 4x2 - 8x + 10

A: The given polynomial is -2x3 + 4x2 - 8x + 10

Q: state if the polynomial is factored completely. 10m2n3 + 15m4n2 = 5m2n(2n2 + 3m2n)

A: Given, 10m2n3+15m4n2

Q: A polynomial with three terms is called A polynomial with four or more terms is monomial binomial…

A: A polynomial with three terms is called trinomial

Q: Factor completely y3 - 8, or state that the polynomial is prime.

A: We use the difference of the cube formula. a3 - b3 = (a-b)(a2+ab+b2) with a=y and b=2

Q: Enter the zeros, including their multiplicities, for the polynomial in its factored form given…

Q: Find the sum of the polynomials: 8x3 - 2x2 + 6x - 2 and 3x4 - 2x3 + x2 + x

A: To find the sum of polynomials: 8x3-2x2+6x-2 and 3x4-2x3+x2+x Solution: (8x3-2x2+6x-2 )+…

Q: Factor completely 15x3 + 3x2, or state that the polynomial is prime.

Q: Determine if the binomial is a factor of the polynomial. (x+ + 12x3 - 91x2 + 26x + 20) + (x- 5)

A: (x4 +12x3 -91x2 +26x +20)÷ (x-5)

Q: Find the degree of the polynomial : 3x2 - 5x + 4

A: Find the degree of the polynomial : 3x2 - 5x + 4

Q: Choose the correct polynomial such that it can be factorized as (2p +q) (4p² – 2pq + q²) p³ – q° 8q³…

Q: Factorize the polynomial: x3+x+2x4+4x2+2

A: Given:

Q: 9. What is the possible equation of the following polynomial in factored form?

Q: Find a polynomial (fx) of degree 3 that has the following zeros. -4, (multiplicity 2), 3 Leave…

Q: Find the greatest common factor between the polynomials x^3-2x^2-25x+50 and x^3+5x^2-4x-20

Q: Suppose that a polynomial contains four terms and can be factored by grouping. Explain how to obtain…

A: Suppose that a polynomial contains four terms and can be factored by grouping. Explain how to obtain…

Q: Find the degree of the polynomial : x2 - 4x3 + 9x - 12x4 + 63.

A: We have to find the degree of the polynomial: x2-4x3+9x-12x4+63 First of all we need to reorder the…

Q: Find the factors of this expression by Factor Theorem. 3x3 + 7x2 + 2x - 4

Q: Find a polynomial that fits the points (−2, 3), (−1, 5), (0, 1), (1, 4), and (2, 10).

A: To find each term of the polynomial, use the Lagrange interpolation formula. Here, x1=-2, y1=3,…

Q: What do we call a polynomial that is not factorable? *

A: A polynomial can be sometimes factored into lower degree polynomials. Ex: x2 + 5 x + 6 = (x + 2)(x +…

Q: What type of polynomial is 3x - 2x+ 9?

A: In this question, we need to check the type of polynomial. The given polynomial as

Question

100%

Is there a greatest common factor for all four of the terms of the polynomial?

Factoring Polynomials
ex1: 3x+x +12X+4
MULTIPLE CHOICE QUESTION
Is there a GCF for all four terms of the
polynomial?
yes, 3
yes, x
no
Rewatch
Submit

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Factorization$

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.

Similar questions

Polynomials Complete the following table by stating whether the polynomial is a monomial, binomial, or trinomial; then list it terms and state its degree.
Building Envelope The building code in a certain town requires that a house be at least 10 ft from the boundaries of the lot. The buildable area or building envelope for the rectangular lot shown in the following figure is given by A=(x20)(y20) a Explain how the expression for A is obtained. b Expand to express A as a polynomial in x and y. c A contractor has a choice of purchasing one of two rectangular lots, each having the same area. One lot measures 100 ft by 400 ft; the other measures 200 ft by 200 ft. Which lot has the larger building envelope?
Number of Intercepts and Local Extrema How many x-intercepts and how many local extrema does the polynomial P(x)=x34x have? How many x-intercepts and how many local extremadoes the polynomial Q(x)=x3+4x have? If a > 0. bow many x-intercepts and how many local extrema does each Of the polynomials P(x)=x3ax and Q(x)=x3+ax have? Explain your answer.
DISCUSS: Degrees of Sums and Products of Polynomials Make up several pairs of polynomials, then calculate the sum and product of each pair. On the basis of your experiments and observations, answer the following questions. (a) How is the degree of the product related to the degrees of the original polynomials? (b)How is the degree of the sum related to the degrees of the original polynomials? (c) Test your conclusions by finding the sum and product of the following polynomials: 2x3+x3 and 2x3x+7
DISCOVER: Nested Form of a Polynomial Expand Q to prove that the polynomials P and Q are the same. P(x)=3x45x3+x23x+5 Q(x)=(((3x5)x+1)x3)x+5 Try to evaluate P(2) and Q(2) in your head, using the forms given. Which is easier? Now write the polynomial R(x)=x52x4+3x32x2+3x+4 in nested form, like the polynomial Q. Use the nested form to find R(3) in your head. Do you see how calculating with the nested form follows the same arithmetic steps as calculating the value of a polynomial using synthetic division?