Advertisements
Advertisements
प्रश्न
Find the value of p if the division of px3 + 9x2 + 4x - 10 by (x + 3) leaves the remainder 5.
Advertisements
उत्तर
Here, P(-3) = 5
⇒ p(-3)3 + 9(-3)2 + 4(-3) - 10 = 5
⇒ -27p + 81 - 12 - 10 = 5
⇒ -27p = -54
⇒ p = 2
संबंधित प्रश्न
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.
If (x – 2) is a factor of the expression 2x3 + ax2 + bx – 14 and when the expression is divided by (x – 3), it leaves a remainder 52, find the values of a and b.
Using the Remainder Theorem, factorise the following completely:
2x3 + x2 – 13x + 6
Using the remainder theorem, find the remainders obtained when x3 + (kx + 8 )x + k is divided by x + 1 and x − 2.
Hence, find k if the sum of the two remainders is 1.
Find without division, the remainder in the following:
8x2 - 2x + 1 is divided by (2x+ 1)
Find the values of a and b when the polynomial f(x)= ax3 + 3x2 +bx -3 is exactly divisible by (2x+3) and leaves a remainder -3 when divided by (x+2).
use the rernainder theorem to find the factors of ( a-b )3 + (b-c )3 + ( c-a)3
Check whether p(x) is a multiple of g(x) or not:
p(x) = x3 – 5x2 + 4x – 3, g(x) = x – 2
Determine which of the following polynomials has x – 2 a factor:
4x2 + x – 2
What must be subtracted from the polynomial x3 + x2 – 2x + 1, so that the result is exactly divisible by (x – 3)?
