Question

Find a cubic function with the given zeros:

6, -3, 5

Answer 1

By factor theorem, if 'a' is a zero of a polynomial, then (x - a) is a factor of the polynomial. Can you take any hint from this?

Answer 2

(x-6),(x+3),(x-5)

Answer 3

Good job! All of these are factors of the cubic polynomial.

Now suppose (x - 1) and (x + 2) are factors of a quadratic polynomial, then (x - 1)(x + 2) = x^2 + x - 2 is the polynomial. So in this case the polynomial should be?

Answer 4

x^3-8x^2-3x+90 ?

Answer 5

That is right!

Answer 6

thanks!