Question

Q1. Is it true that (x - 2) is a factor of the polynomial x⁴- 8x³ + 17x²+ 2x - 24?​

Answer 1

Answer:

Very easy answer

Step-by-step explanation:

Work hard, study hard, understand everything

You will get the answer

Answer 2

Answer:

$(x-2)$ is a factor of the polynomial $x^4-8x^3+17x^2+2x-24$.

Step-by-step explanation:

In general, $(x-a)$ is a factor of a polynomial $P(x)$ if and only if $P(a)$ is zero. That is when we substitute the value $a$ in the polynomial, we should get 0.

Given the polynomial $P(x)=x^4-8x^3+17x^2+2x-24$. Then $(x-2)$ is factor if and only if $P(2) =0$.

$P(2)= 2^4-8\times 2^3+17\times 2^2+2\times 2-24\\=16-64+68+4-24= 0$

Since $P(2)=0$, $(x-2)$ is a factor of the given polynomial.