Question

What is the polynomial function of least degree whose only zeros are -2, 3, and 4

Answer 1

f(x)= x^3+24 x^2+9 x-1

+1 -14 -24

Answer 2

Answer:

$x^3-5x^2-2x+24$

Step-by-step explanation:

the polynomial function of least degree whose only zeros are -2, 3, and 4

Factors are -2,3 and 4

First we write the polynomial in factor form

If 'a' is a zero of the polynomial then (x-a) is a factor

Factors are -2,3 and 4

Polynomial is $(x-(-2))(x-3)(x-4)$

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

Now we multiply all the parenthesis

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

$(x^2-3x+2x-6)(x-4)$

$(x^2-x-6)(x-4)$

$x^3-4x^2-x^2+4x-6x+24$

$x^3-5x^2-2x+24$