How do you multiply (x+4)(3x^{2}-8x-7)?

Lyric Morris

Lyric Morris

Answered question

2022-02-10

How do you multiply (x+4)(3x28x7)?

Answer & Explanation

Layla Humphrey

Layla Humphrey

Beginner2022-02-11Added 11 answers

To multiply two polynomials requires distribution. Each term of one polynomial must multiple each of the terms in the other polynomial.
We start with:
(x+4)(3x28x7)
=x(3x28x7)+4(3x28x7)
First we multiply x from the first polynomial by each term of the second polynomial:
=3x38x27x+4(3x28x7)
Now we multiply 4 from the first polynomial by each term of the second polynomial:
=3x38x27x+12x232x28
Now we simplify:
=3x38x27x+12x232x28
=3x3+4x239x28
3x3+4x239x28

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