Math, asked by kumarikhushi, 1 year ago



The polynomial f ( x ) = x^4 - 2x^3 +x^2 -ax + b when divided by (x - 1 ) and ( x + 1 ) leave the remainder 5 and 19 respectively. Find the values of a and b . Hence find the remainder when f ( x ) is divided by ( x - 2).

Answers

Answered by Anonymous
6
Substitute x = 1, the result should be equal to 5

1-2+1-a+b = 5
b - a = 5

Substitute x = -1, the result should be equal to 19

1+2+1+a+b = 19
a+b = 15

Adding both, b = 10 and a = 5

So, the polynomial is x^4-2x^3+x^2-5x+10 = 0

Dividing it with x-2,

Quotient is x²+x-3
Remainder is 4



Anonymous: Please mark as brainliest and click on thank you
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