Advertisements
Advertisements
Question
If x + 1 is a factor of 3x3 + kx2 + 7x + 4, then the value of k is
Options
– 1
0
6
10
Solution
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
RELATED QUESTIONS
Find the remainder when x3 + 3x2 + 3x + 1 is divided by x + π.
Use the Remainder Theorem to factorise the following expression:]
`2x^3 + x^2 - 13x + 6`
Use the Remainder Theorem to find which of the following is a factor of 2x3 + 3x2 – 5x – 6.
x + 2
If ( x31 + 31) is divided by (x + 1) then find the remainder.
Find without division, the remainder in the following:
5x2 - 9x + 4 is divided by (x - 2)
Using remainder theorem, find the remainder on dividing f(x) by (x + 3) where f(x) = 2x2 – 5x + 1
Using the Remainder Theorem, factorise completely the following polynomial:
3x2 + 2x2 – 19x + 6
(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.
What is the remainder when x2018 + 2018 is divided by x – 1
If x3 + 6x2 + kx + 6 is exactly divisible by (x + 2), then k = ?
