Question

Which polynomial function has a leading coefficient of 2, root -4 with multiplicity 3, and root 10 with multiplicity 1?

O f(x) = 2(x-4)(x-4)(x - 4)(x + 10)

O fx) = 2(x + 4)(« + 4)(« + 4)(-10)

O f) =3K – 4)(«-4)0x + 10)

O f()= 3(x + 4)(x + 4)(K- 10)

Answer 1

f(x) = 2(x+4)(x+4)(x+4)(x-10)

Explanation:

Here, we want to write a polynomial function with leading coefficient of 2, root - 4 with multiplicity 3 ( meaning it appears 3 times);

and root 10 with multiplicity 1

If x = -4

Then in linear form, we have x + 4

if x = 10, in linear form, we have x -10

So the polynomial is;

f(x) = 2(x+4)(x+4)(x+4)(x-10)