Algebramedium · Past Paper
Find the value of 'k' if (x + 2) is a factor of x^3 - kx^2 + 3x + 10.
A-2
B2
C1
D-1
✓ Correct Answer: D — -1
By Factor Theorem, P(-2) = 0. (-2)^3 - k(-2)^2 + 3(-2) + 10 = 0 => -8 - 4k - 6 + 10 = 0 => -4k - 4 = 0 => k = -1.
Share this question
More from Algebra
- If b^2 - 4ac < 0, the roots of the equation are:
- What are the factors of x^2 - 11x + 24?
- Find 'p' such that roots of 2x^2 + px + 4 = 0 are in ratio 1:2.
- Which of the following represents the standard form of a quadratic equation?
- If the roots of (b-c)x^2 + (c-a)x + (a-b) = 0 are equal, find the relation between a, b, c.