Advertisements
Advertisements
प्रश्न
By Remainder Theorem find the remainder, when p(x) is divided by g(x), where p(x) = x3 – 3x2 + 4x + 50, g(x) = x – 3
Advertisements
उत्तर
Given, p(x) = x3 – 3x2 + 4x + 50 and g(x) = x – 3
Here, zero of g(x) is 3.
When we divide p(x) by g(x) using remainder theorem, we get the remainder p(3).
∴ p(3) = (3)3 – 3(3)2 + 4(3) + 50
= 27 – 27 + 12 + 50
= 62
Hence, remainder is 62.
APPEARS IN
संबंधित प्रश्न
Using the Remainder Theorem, factorise the following completely:
3x3 + 2x2 – 23x – 30
When x3 + 3x2 – mx + 4 is divided by x – 2, the remainder is m + 3. Find the value of m.
Divide the first polynomial by the second polynomial and find the remainder using remainder theorem.
(54m3 + 18m2 − 27m + 5) ; (m − 3)
What number should be subtracted from x2 + x + 1 so that the resulting polynomial is exactly divisible by (x-2) ?
What number should be added to 2x3 - 3x2 + 7x -8 so that the resulting polynomial is exactly divisible by (x-1) ?
use the rernainder theorem to find the factors of ( a-b )3 + (b-c )3 + ( c-a)3
The polynomial f(x) = ax4 + x3 + bx2 - 4x + c has (x + 1), (x-2) and (2x - 1) as its factors. Find the values of a,b,c, and remaining factor.
If p(x) = 4x3 - 3x2 + 2x - 4 find the remainderwhen p(x) is divided by:
x + 2
Using the Remainder Theorem, factorise completely the following polynomial:
3x2 + 2x2 – 19x + 6
By Remainder Theorem find the remainder, when p(x) is divided by g(x), where p(x) = 4x3 – 12x2 + 14x – 3, g(x) = 2x – 1
