Advertisements
Advertisements
Question
By Remainder Theorem find the remainder, when p(x) is divided by g(x), where p(x) = x3 – 2x2 – 4x – 1, g(x) = x + 1
Advertisements
Solution
Given, p(x) = x3 – 2x2 – 4x – 1 and g(x) = x + 1
Here, zero of g(x) is –1.
When we divide p(x) by g(x) using remainder theorem, we get the remainder p(–1)
∴ p(–1) = (–1)2 – 2(–1)2 – 4(–1) – 1
= –1 – 2 + 4 – 1
= 4 – 4
= 0
Hence, remainder is 0.
APPEARS IN
RELATED QUESTIONS
Find the remainder when x4 – 3x2 + 2x + 1 is divided by x – 1.
Find the remainder when x3 + 3x2 – 12x + 4 is divided by x – 2.
Find the remainder when x4 + 1 is divided by x + 1.
Use the Remainder Theorem to find which of the following is a factor of 2x3 + 3x2 – 5x – 6.
x + 1
If x3 + ax2 + bx + 6 has x – 2 as a factor and leaves a remainder 3 when divided by x – 3, find the values of a and b.
The polynomials ax3 + 3x2 – 3 and 2x3 – 5x + a, when divided by x – 4, leave the same remainder in each case. Find the value of a.
Use remainder theorem and find the remainder when the polynomial g(x) = x3 + x2 – 2x + 1 is divided by x – 3.
If p(x) = 4x3 - 3x2 + 2x - 4 find the remainderwhen p(x) is divided by:
x - 4
If p(x) = 4x3 - 3x2 + 2x - 4 find the remainderwhen p(x) is divided by:
x + `(1)/(2)`.
Using remainder theorem, find the remainder on dividing f(x) by (x + 3) where f(x) = 2x2 – 5x + 1
