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serg [7]
3 years ago
12

HELP!!! Use the factor Theorem to determine whether the binomial x+1 is a factor of the polynomial function f(x) =2x^3-9x^2+13x-

6
A. No because f(c)=-30
B. No because f(c)=-4
C. Yes
D. No because f(c) =14

Mathematics
1 answer:
Dovator [93]3 years ago
6 0

ANSWER

A. No because f(c)=-30

EXPLANATION

The given polynomial is

f(x) =2x^3-9x^2+13x-6

If x+1 is a factor , then f(-1) must evaluate to zero.

f( - 1) =2( - 1)^3-9( - 1)^2+13( - 1)-6

f( - 1) =2( - 1)-9( 1)+13( - 1)-6

f( - 1) = - 2-9 - 13-6

f( - 1) = -11 - 19

f( - 1) = - 30

Since f(-1) is not equal to zero, x+1 is not a factor of

f(x) =2x^3-9x^2+13x-6

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