Practice30 Create account

If $(x + 2)$ is a factor of $2 x^{3} + a x^{2} + 11 x + a + 3$ , then a equals:

Competition practiceAlgebra

A5
B3
C−7
D7

Step-by-Step Solution

By the factor theorem

p (- 2) = 0

. Now

p (- 2) = 2 (- 8) + a (4) + 11 (- 2) + a + 3 = - 16 + 4 a - 22 + a + 3 = 5 a - 35

, so

5 a = 35

and

a = 7

.

Answer: D) 7

Master this topic in 30 minutes a day.

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

Practice 5 Similar Questions Free →

All Algebra practice questions

More Algebra practice

The HCF of the polynomials x⁴ − 16 and x² − 5x + 6 is:The HCF of two polynomials is (x + 3) and their LCM is (x − 2)(x + 3)(x + 4). If one of…For x ≠ 0, −1, −2 the sum 1/(x(x + 1)) + 1/((x + 1)(x + 2)) equals:If (3x + 5)/((x + 1)(x + 3)) = A/(x + 1) + B/(x + 3) for every admissible x, then B…For a ≠ 0 and a ≠ ±b, the value of (a² − b²)/(a² + ab) ÷ (a − b)/a is: