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maks197457 [2]
3 years ago
9

Use the grouping method to factor this polynomial x ^ 3 + 2x ^ 2 + 7x + 14

Mathematics
1 answer:
elena55 [62]3 years ago
6 0

Answer:

B. (x^{2}+7)(x+2)

Step-by-step explanation:

The greates common factor between 7 and 14 is 7 so you know that one of the terms is going to be 7....but what times 7 equals 14...2

So we know that in one set of parentheses its going to be (something +2) and in another (something +7)

Well if we know that one is going to be 2, how do we go from 2 to 2x^{2}.....2 times x^{2} equals 2x^{2}

So now we know that one set of parentheses is going to be (something + 2) times (x^{2}+7)

So lastly, we have to find out how to get x^{3} but since we already have a x^{2} in the second set of parentheses all we have to do is put a x in the first set because x times x^{2} = x^{3}

Hope this helps!

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