what is reminder, if the polynomial x² + 4x2 + 4-3 & divided by x-1
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We know that the Remainder Theorem states that when we divide a polynomial f(x) by x−c, the remainder is f(c).
Here, the given polynomial is f(x)=x
4
+x
2
+1 which is divided by (x−2), so we calculate f(2) to find the remainder as shown below:
f(2)=(2)
4
+(2)
2
+1=16+4+1=21
Hence, by remainder theorem, when f(x)=x
4
+x
2
+1 is divided by (x−2), the remainder is 21.
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