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For what value of $k$ will $(x + 2)$ be a factor of $p (x) = k x^{2} + 3 x - 10$ ?
Use $p (- 2) = 0$ to solve.

Class 9Factor Theorem and FactorisationPolynomials

A5
B3
C8
D4

Step-by-Step Solution

p (- 2) = 4 k - 6 - 10 = 4 k - 16 = 0

, so

k = 4

. Then

p (x) = 4 x^{2} + 3 x - 10 = (x + 2) (4 x - 5)

.

Answer: D) 4

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