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sladkih [1.3K]
3 years ago
9

Consider the polynomial p(x)=8x3+12x2+2x+3.

Mathematics
1 answer:
Ivahew [28]3 years ago
3 0

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)=8x3+12x2+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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