Advertisements
Advertisements
प्रश्न
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
उत्तर
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
संबंधित प्रश्न
Use the Remainder Theorem to factorise the following expression:]
`2x^3 + x^2 - 13x + 6`
Using the Remainder Theorem, factorise the following completely:
3x3 + 2x2 – 23x – 30
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.
Find the number which should be added to x2 + x + 3 so that the resulting polynomial is completely divisible by (x + 3).
A polynomial f(x) when divided by (x - 1) leaves a remainder 3 and when divided by (x - 2) leaves a remainder of 1. Show that when its divided by (x - i)(x - 2), the remainder is (-2x + 5).
Use remainder theorem and find the remainder when the polynomial g(x) = x3 + x2 – 2x + 1 is divided by x – 3.
(x – 2) is a factor of the expression x3 + ax2 + bx + 6. When this expression is divided by (x – 3), it leaves the remainder 3. Find the values of a and b.
When 2x3 – x2 – 3x + 5 is divided by 2x + 1, then the remainder is
If on dividing 4x2 – 3kx + 5 by x + 2, the remainder is – 3 then the value of k is
Find the remainder when 2x3 – 3x2 + 4x + 7 is divided by x + 3
