Asked by Rina
Examine the polynomial p(x)=6x^3+17x^2−24x−35.
Use the Factor Theorem to identify which binomial is a factor of p(x).
a.3x+5
b.2x+7
c.x−1
d.2x−7
I thought that 2x+7 was a factor of p(x) but I don't know and I am confused now can somebody help
Use the Factor Theorem to identify which binomial is a factor of p(x).
a.3x+5
b.2x+7
c.x−1
d.2x−7
I thought that 2x+7 was a factor of p(x) but I don't know and I am confused now can somebody help
Answers
Answered by
Reiny
Ok, let's test that one
If 2x + 7 is a factor, then f(-7/2) should be zero.
f(x) = 6x^3+17x^2−24x−35
f(-7/2) = 6(-7/2)^3 + 17(-7/2)^2 - 24(-7/2) - 35
= 6(-343/8) + 17(49/4) + 168/2 - 35
= -2058/8 + 1666/8 + 672/8 - 280/8 = 0/8 = 0
Yeah, so 2x+7 is a factor
try the others in the same way
If 2x + 7 is a factor, then f(-7/2) should be zero.
f(x) = 6x^3+17x^2−24x−35
f(-7/2) = 6(-7/2)^3 + 17(-7/2)^2 - 24(-7/2) - 35
= 6(-343/8) + 17(49/4) + 168/2 - 35
= -2058/8 + 1666/8 + 672/8 - 280/8 = 0/8 = 0
Yeah, so 2x+7 is a factor
try the others in the same way
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