Question

If x.? is the factor of the polynomial 3x2 kx-12, find the value of
x​

Answer 1

Answer:

f(x)=x

3

+3x

2

−kx−12$

According to remainder theorem

f(3)=30

⟹(3)

2

+3(3)

3

−k(3)−12=30

⟹27+27−3k−12=30⟹3k=54−12−30=12

⟹k=4

f(x)=x

3

+3x

2

−4x−12

⟹

x−3

x

3

+3x

2

−4x−12

=x

2

+6x+14

So, Quotient =x

2

+6x+14