Home
Class 9
MATHS
If x^(3) + 6x^(2) + kx + 6 is exactly d...

If `x^(3) + 6x^(2) + kx + 6` is exactly divisible by `( x + 2) ` , then `k = ? `

A

-6

B

-7

C

-8

D

11

Text Solution

Verified by Experts

The correct Answer is:
11
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ALGEBRA

    SURA PUBLICATION|Exercise EXERCISE 3.1(Additional Questions and Answers)|26 Videos

  • ALGEBRA

    SURA PUBLICATION|Exercise TEXT BOOK ACTIVITIES|5 Videos

  • ALGEBRA

    SURA PUBLICATION|Exercise EXERCISE 3.14|7 Videos

  • COORDINATE GEOMETRY

    SURA PUBLICATION|Exercise UNIT TEST (SECTION - C)|4 Videos

Similar Questions

Explore conceptually related problems

For what value of k is the polynomial p(x) = 2x^(3) -kx^(2) + 3x + 10 exactly divisible by ( x-2).

Verify whether 2x ^(4) - 6x ^(3) + 3x ^(2) + 3x -2 is divisible by x ^(2) - 3x +2 or not ? How can you verify using Factor Theorem ?

Knowledge Check

  • If x^(2)-6x+k = 0 has equal roots the value of k is

    A
    12
    B
    3
    C
    9
    D
    -9

    • Similar Questions

    Explore conceptually related problems

    For what value of k is the polynomial p(x)= 2x^(3) -kx^(2)+ 3x+10 exactly divisible by (x–2)

    Find the remainder when p (x) = x ^(3) - 6x ^(2) + 14x -3 is divided b y g (x) =1-2x and verify the result by long division.

    If x^(4) + 2kx^(3) + x^(2) + 2kx + 1 = 0 has exactly tow distinct positive and two distinct negative roots, then find the possible real values of k.

    Determine k and solve the equation 2x^(3) − 6x^(2) + 3x + k = 0 if one of its roots is twice the sum of the other two roots.

    If the equation x^(log_(a)x^(2))=(x^(k-2))/a^(k),a ne 0 has exactly one solution for x, then the value of k is/are

    If the polynomial x^(4)-6x^(3)+16x^(2)-25x+10 is divided by another polynomial x^(2)-2x+k , the remainder comes out to be x+a , find k and a.

    Determine k and solve the equation 2x^3 - 6x^2 + 3x+k = 0 if one of its roots is twice the sum of the other two roots.

    Home
    Profile