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

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

User Scott Hanselman
by
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2 Answers

6 votes
x(3x+5)-4(3x+5)
3x^2+5x-12x+20
3x^2-7x+20
User Valentine
by
8.1k 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)

User FaCoffee
by
8.3k points
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