Question

Consider the polynomial P(x)=x⁴+3x³-28x²-36x+144. Is x+3 one of the factors of P?

Answer 1

x+3 will be factor of polynomial

Explanation:

We have given polynomial
`x^4+3x^3-28x^2-36x+144`

We have to find that is x+3 is one of factor of polynomial

For this if x+3 will factor of polynomial

Then if we put x=-3 in the polynomial then the the value of polynomial will be zero

As
`P(-3)=(-3)^4+3* (-3)^3-28* (-3)^2-36* -3+144=81-81-252+108+144=0`

So x+3 will be factor of polynomial