Question

Find a polynomial f(x) with leading coefficient 1 and having degree 3 and zeros -3,-2,4.

Answer 1

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Answer 2

Answer:

f(x)= x^3+x^2-14x-24

Step-by-step explanation:

Since the zeroes are -3, -2, 4, the factored form of the polynomial must be:

(x+3)(x+2)(x-4)

If these are multiplied:

(x^2+5x+6)(x-4)

Then multiplied again

x^3-4x^2+5x^2-20x+6x-24

Then like terms are combined,the answer is

x^3+x^2-14x-24