Advertisements
Advertisements
प्रश्न
If x + 1 is a factor of 3x3 + kx2 + 7x + 4, then the value of k is
विकल्प
– 1
0
6
10
Advertisements
उत्तर
f(x) = 3x3 + kx2 + 7x + 4
g(x) = x + 1
Remainder = 0
Let x + 1 = 0,
then x = – 1
f(– 1) = 3(– 1)3 + k(– 1)2 + 7(– 1) + 4
= – 3 + k – 7 + 4
= k – 6
∴ Remainder = 0
∴ k – 6 = 0
⇒ k = 6.
APPEARS IN
संबंधित प्रश्न
Using the Remainder and Factor Theorem, factorise the following polynomial:
`x^3 + 10x^2 - 37x + 26`
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.
Divide the first polynomial by the second polynomial and find the remainder using remainder theorem.
(54m3 + 18m2 − 27m + 5) ; (m − 3)
Find without division, the remainder in the following:
5x3 - 7x2 +3 is divided by (x-1)
Find without division, the remainder in the following :
x3 + 8x2 + 7x- 11 is divisible by (x+4)
If on dividing 4x2 – 3kx + 5 by x + 2, the remainder is – 3 then the value of k is
Check whether p(x) is a multiple of g(x) or not
p(x) = x3 – 5x2 + 4x – 3, g(x) = x – 2
By actual division, find the quotient and the remainder when the first polynomial is divided by the second polynomial: x4 + 1; x – 1
For what value of m is x3 – 2mx2 + 16 divisible by x + 2?
The polynomial p(x) = x4 – 2x3 + 3x2 – ax + 3a – 7 when divided by x + 1 leaves the remainder 19. Find the values of a. Also find the remainder when p(x) is divided by x + 2.
