When p(x) = x^4 - 2x^3 + 3x^2 - ax + b is divided by (x - 1) the remainder is 5, and when divided by (x + 1) the remainder is 19. Find the value of a + b.

Question

Accepted Answer

13. p(1) = 1 - 2 + 3 - a + b = 2 - a + b = 5, so -a + b = 3. p(-1) = 1 + 2 + 3 + a + b = 6 + a + b = 19, so a + b = 13.

When p $(x) = x^{4} - 2 x^{3} + 3 x^{2}$ - ax + $b$ is divided by $(x - 1)$ the remainder is 5, and when divided by $(x + 1)$ the remainder is 19.
Find the value of $a + b$ .

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More Class 9 Remainder Theorem practice

When p(x)=x4−2x3+3x2 - ax + b is divided by (x−1) the remainder is 5, and when divided by (x+1) the remainder is 19.Find the value of a+b.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Remainder Theorem practice

When p $(x) = x^{4} - 2 x^{3} + 3 x^{2}$ - ax + $b$ is divided by $(x - 1)$ the remainder is 5, and when divided by $(x + 1)$ the remainder is 19.
Find the value of $a + b$ .