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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

HELP Use the factor Theorem to determine whether the binomial x1 is a factor of the polynomial function fx 2x39x213x6 A No because fc30 B No because fc4 C Yes class=

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ANSWER

A. No because f(c)=-30

EXPLANATION

The given polynomial is

[tex]f(x) =2x^3-9x^2+13x-6[/tex]

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

[tex]f( - 1) =2( - 1)^3-9( - 1)^2+13( - 1)-6[/tex]

[tex]f( - 1) =2( - 1)-9( 1)+13( - 1)-6[/tex]

[tex]f( - 1) = - 2-9 - 13-6[/tex]

[tex]f( - 1) = -11 - 19[/tex]

[tex]f( - 1) = - 30[/tex]

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

[tex]f(x) =2x^3-9x^2+13x-6[/tex]

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