Factor the polynomial x(3x+5)-4(3x+5)

asked Sep 15, 2019 219k views

5 votes

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6 votes

x(3x+5)-4(3x+5)
3x^2+5x-12x+20
3x^2-7x+20

Valentine answered Sep 18, 2019

5.7k points

5 votes

Answer:

(3x+5)(x-4)

Explanation:

First, we must distribute this:

$x(3x+5)-4(3x+5)\\3x^2+5x-12x-20\\3x^2-7x-20$

Now, we must factor:

$3x^2-7x-20\\(3x+5)(x-4)$

FaCoffee answered Sep 20, 2019

5.2k points

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