Find the remainder if
P(x) = x3_14x²+ 370-60 g(x) = (x-2)
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Step-by-step explanation:
Given, p(x)=x
4
+x
3
+x
2
−5x+1 and g(x)=x+1
q(x) ⇒ x+1=0 ⇒x=−1
The remainder when p(x) is divided by g(x) is p(−1) ...(By Remainder Theorem)
Thus,
p(−1)=(−1)
4
+(−1)
3
+(−1)
2
−5(−1)+1
p(−1)=1−1+1+5+1
p(−1)=7
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