Practice30 Create account

The polynomial $p (x) = x^{2} + k x + 12$ has $(x - 4)$ as a factor. What is the other factor?

Class 9Factor Theorem and FactorisationPolynomials

A $(x - 3)$
B $(x + 3)$
C $(x - 4)$
D $(x + 4)$

Step-by-Step Solution

If

(x - 4)

is a factor and constant is 12, the other root

r

satisfies 4

x r = 12

, so

r = 3

. Other factor is

(x - 3)

. Then

k = - 7

.

Answer: A)

(x - 3)

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Factor Theorem and Factorisation practice questions

More Class 9 Factor Theorem and Factorisation practice

Riya is checking whether (x - 5) divides the polynomial p(x) = x^2 - 8x + 15 exactly.…A shopkeeper in Jaipur models his daily profit (in hundreds of Rs) by p(x) = x^2 - 9x +…Arjun writes a cubic p(x) = x^3 - 7x + 6. He notices that p(1) = 0, so (x - 1) is one…A teacher tells the class that (x - a) is a factor of x^3 - 19x - 30, where a is a…Meena claims that if you add the three roots of x^3 - 6x^2 + 11x - 6, you get the same…