Question

Find the remainder when the polynomial P(x)=x^4+2x^3-3x^2+x-1 is divided by (x-2)​

Answer 1

Question:-

Find the remainder when the polynomial P(x)=x⁴+2x³-3x²+x-1 is divided by (x-2)

Given:-

p(x) = x⁴+2x³-3x²+x-1

g(x) = x-2

To Find:-

Remainder =?

Explanation:-

p(x) = x⁴+2x³-3x²+x-1

g(x) = x-2

= x-2=0

= x=2

Putting x=2 in p(x)

p(x) = x⁴+2x³-3x²+x-1

= (2)⁴+2×(2)³-3×(2)²+2-1

= 16 + 2× 8-3×4+2-1

= 16+16-12+2-1

= 32-12+2-1

= 34-12-1

= 34-13

= 21

Hope it helps!

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Answer 2

Step-by-step explanation:

see the attachment for the answer