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Grace [21]
3 years ago
12

(4x-3)(2x^2-7x+1) what is the product of this please help!

Mathematics
1 answer:
goblinko [34]3 years ago
6 0

Answer:

8x^{3}-34x^{2}+25x-3

Step-by-step explanation:

In order to solve this problem, lets take the two terms in the binomial (4x and -3) and, for each one, multiply them by each term in the trinomial (2x^2, -7x, and 1):

(4x-3)(2x^{2}-7x+1)

(4x*2x^{2})+(4x*-7x)+(4x*1)+(-3*2x^{2})+(-3*-7x)+(-3*1)

8x^{3}+(-28x^{2})+4x+(-6x^{2})+21x+(-3)\\

8x^{3}-28x^{2}+4x-6x^{2}+21x-3

Let's combine like terms to get our final answer:

8x^{3}-28x^{2}-6x^{2}+4x+21x-3

8x^{3}-34x^{2}+25x-3

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