Answer :

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

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