Answer:
x+3 will be factor of polynomial
Step-by-step explanation:
We have given polynomial [tex]x^4+3x^3-28x^2-36x+144[/tex]
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 [tex]P(-3)=(-3)^4+3\times (-3)^3-28\times (-3)^2-36\times -3+144=81-81-252+108+144=0[/tex]
So x+3 will be factor of polynomial
