Consider the polynomial p(x)=8×3+12×2+2x+3. Part A: What is the correct factorization of p(x)=8×3+12×2+2x+3 over the integers?

Question

Consider the polynomial p(x)=8×3+12×2+2x+3.

Part A: What is the correct factorization of p(x)=8×3+12×2+2x+3 over the integers?

Part B: What method is used to factor p(x)=8×3+12×2+2x+3?

Select one answer for Part A and select one answer for Part B.

B: perfect-square trinomial
B: grouping
A: (2x+3)(4x+1)
B: sum of cubes
A: (4×2+1)(2x+3)
A: (2x+3)(4×2+6x+1)

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Everleigh 2 weeks 2021-09-10T22:19:40+00:00 1 Answer 0

Answers ( )

    0
    2021-09-10T22:20:49+00:00

    A: (4x^2+1)(2x+3)

    B: grouping

    Step-by-step explanation:

    We are given the polynomial: p(x)=8x^3+12x^2+2x+3

    Part A: What is the correct factorization of p(x)=8x^3+12x^2+2x+3 over the integers?

    We need to factorize the term p(x)=8x^3+12x^2+2x+3

    Factorizing by grouping:

    p(x)=8x^3+12x^2+2x+3

    p(x)=(8x^3+12x^2)+(2x+3)

    p(x)=4x^2(2x+3)+1(2x+3)

    p(x)=(4x^2+1)(2x+3)

    So, factors of the term p(x)=8x^3+12x^2+2x+3 are p(x)=(4x^2+1)(2x+3)

    Part B: What method is used to factor p(x)=8×3+12×2+2x+3?

    The method used to factor the given polynomial is grouping.

    We group the terms and then find the common terms in that specific group

    So, the answers are:

    A: (4x^2+1)(2x+3)

    B: grouping

    Keywords: Finding Factors


    Learn more about finding factors at:

    • brainly.com/question/1414350
    • brainly.com/question/1464739
    • brainly.com/question/2568692

    #learnwithBrainly

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