Question

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

Answer 1

f(x) = 2(x + 4)(x + 4)(x + 4)(x – 10)

Explanation:

Answer 2

Polynomial : 2 (x+4) (x+4) (x+4) (x+4)(x - 10) .

Explanation:

Given : leading coefficient of 2, root –4 with multiplicity 3, and root 10 with multiplicity 1.

To find : Which polynomial function.

Solution : We have given that

a polynomial has leading coefficient 2 and root -4 with multiplicity 3

Then (x +4) (x+4) (x+4) (x+4)

Another root 10 with multiplicity 1

(x - 10)

Then polynomial : 2 (x+4) (x+4) (x+4) (x+4)(x - 10) .

Therefore,Polynomial : 2 (x+4) (x+4) (x+4) (x+4)(x - 10) .