Which second degree polynomial function has a leading coefficient of –1 and root 4 with multiplicity 2? f(x) = –x2 – 8x – 16 f(x) = –x2 + 8x – 16 f(x) = –x2 – 8x + 16 f(x) = –x2 + 8x + 16

ANSWER

EXPLANATION

If a second degree polynomial function has a leading coefficient of –1 and root 4 with multiplicity 2, then is equation is

We expand to get:

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: