check whether g(x)=x+3 is a factor of the polynomial f(x)=x^5+3x^4-x^3-3x^2+5x+15.
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Answer:
0 is the answer...
Step-by-step explanation:
g(x)=x+3=0
=x=-3
f(x)=x⁵+3x⁴-x³-3x²+5x+15
=(-3)⁵+3(-3)⁴-(-3)³-3(-3)²+5(-3)+15
=-243+3(81)-(-27)-3(9)-15+15
=-243+243+27-27-15+15
=0+0+0
=0
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