If x - 3 is a factor of x2 - ax - 15, then a = - Vidyadip

MCQ

If x - 3 is a factor of x² - ax - 15, then a =

A
-2
B
5
C
-5
D
3

✓

Answer

-2
Solution:
x - 3 is a factor of x² - ax - 15,
then at x = 3,
x² - ax - 15 = 0
i.e. (3)² - a(3) - 15 = 0
9 - 3a - 15 = 0
a = -2

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q" from Polynomials→Polynomials — all question types→Maths STD 9 question papers→Gujarat Board STD 9 question papers→Gujarat Board question paper generator→

Similar questions

The abscissa of a point is positive in the

The value of x³ - 8y³ - 36xy - 216, when x = 2y + 6 is:

In $\triangle\text{ABC,}$ if $\angle\text{C}>\angle\text{B},$ then:

The value of x^a-b × x^b-c × x^c-a is:

If ABC and DEF are two triangles such that $\triangle\text{ABC}\cong\triangle\text{FDE}$ and $\text{AB}=5\text{m},\angle\text{B}=40^\circ$ and $\angle\text{A}=80^\circ.$ Then, which of the following is true?

The point (0, -4) lies:

Things which are double of the same thing are

A sphere and a cube are of the same height. The ratio of their volumes is

The three steps from solids to points are:

In a $\triangle A B C$, if $\angle A=\angle B+\angle C$, then $\triangle A B C$ is