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Algebra - 6 - Remainders in Polynomial || Quantitative Aptitude || CAT 2021 || 18 September

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Question 1

What will be the remainder, when 3x3 + x2 + 5x + 8 is divided by 1 + 2x + x2?

Question 2

The polynomial P (x) = x4 – 2x3 + 3x2 – ax + 3a – 7 when divided by (x + 1) leaves the remainder 19. The value of a is

Question 3

What is the remainder when the polynomial 2x3 – 3x2 – 17x + 32 is divided by polynomial (x – 2) ?

Question 4

If x4 – 2x3 + 3x2 – 2x + 3 is divided by (3x - 2), then the remainder is-

Question 5

If expression (Px3 + 3x2 – 3) and (2x3 – 5x + P) is divided by (x – 4) then we get same remainder in both cases then find the value of P.

Question 6

The polynomial f(x) = x4+2x3+3x2-ax-b when divided by x-1 and x+1 leaves the remainder 5 and 19 respectively. The value of b is:

Question 7

Given that the polynomial (x2 + ax + b) leaves that same remainder when by (x – 1) or (x + 1) What are the values of a and b respectively?

Question 8

When f(x) = x3 – 3x2 + x + 2 is divided by a polynomial g(x), the quotient and remainder were x – 2 and -2x + 4 respectively. Here, g(x) is equal to

Question 9

Let p(x) be a quadratic polynomial such that p(0)=1. If p(x) leaves remainder 4 when divided by x−1 and it leaves remainder 6 when divided by x+1; then:

Question 10

If x3 + 5x2 + 10k leaves remainder -2x when divided by x2 + 2 then the value of k is:
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