Question

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

Answer 1

Answer:

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

Step-by-step 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)