Question

If what value of a if x-3 is a factor of X3+x2-17x+a

Answer 1

$\textbf{Concept used:}$

$\textbf{Factor theorem:}$

$\text{(x-a) is a factor of f(x) iff f(a) =0}$

$\text{Let }\;p(x)=x^3+x^2-17x+a$

$\textbf{Given:}$

$\text{(x-3) is a factor of p(x)}$

$\textbf{By factor theorem, p(3)=0}$

$\implies\,3^3+3^2-17(3)+a=0$

$\implies\,27+9-51+a=0$

$\implies\,-15+a=0$

$\implies\boxed{\bf\.a=15}$

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Answer 2

Answer:

The answer is : 15

Step-by-step explanation: