Question

Question 3 of 10 * - 3 is a factor of P(x) =*? – 73? + 158-9 O A. True O B. False

Answer 1

Given,

The expression is,

$P(x)=x^3-7x^2+15x-9$

If x- 3 is the factor of the given polynomial function, then on substituting the value of x = 3 in the polynomial function, it become zero.

Thus subsituting the value of x in the polynomial,

$\begin{gathered} P(3)=3^3-7\times3^2+15\times3-9 \\ =27-7\times9+45-9 \\ =27+45-63-9 \\ =72-72 \\ =0 \end{gathered}$

Here, the obtained value of polynomial is 0.

Hence, x-3 is a factor of the given polynomial.

Thus, option A(true) is correct.