Question

the number of zeros the polynomial f(x)=x-4 can have

Answer 1

Answer:

If 3 is a zeros of the polynomial, then 3 must satisfy the equation f(3)=0.

x

4

−x

3

−8x

2

+kx+12=0

⇒3

4

−3

3

−8(3)

2

+3k+12=0

⇒81−27−72+3k+12=0

⇒−6+3k=0

⇒3k=6

⇒k=2.