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If P(-2/3) = 0, then one factor of the polynomial P(x) must be

A) 2x - 3
B) 3x + 2
C) 3x - 2
D) 2x + 3

2007-10-22 19:41:21 · 5 answers · asked by Anonymous in Science & Mathematics Mathematics

5 answers

In order for P(-2/3) to be zero, one of its factors must be zero, because the only way to get a zero through multiplying is by multiplying by zero.

We can simply check each answer to see which one will evaluate to zero.

It turns out that (B) evaluates:
3x + 2
3(-2/3) + 2
-6/3 + 2
-2 + 2
0

Therefore, the answer is (B).

2007-10-22 19:47:19 · answer #1 · answered by Pinsir003 3 · 0 0

B, because 3(-2/3) + 2 = -2 + 2 = 0

2007-10-22 19:58:57 · answer #2 · answered by Kenny H 3 · 0 0

must be B:

3(-2/3) + 2 = 0

2007-10-22 19:44:46 · answer #3 · answered by icie 3 · 0 0

answer is b, just plug it in, 3(-2/3) + 2 = -2+2=0

2007-10-22 19:44:26 · answer #4 · answered by starz8 2 · 0 0

x-(-2/3)=0
x+2/3=0

3x+2=0

Hence 3x+2 is a factor
B) 3x + 2

2007-10-22 20:04:33 · answer #5 · answered by iyiogrenci 6 · 0 0

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