You will get brainliest which polynomial function has a leading coefficient of 2, root –4 with multiplicity 3, and root 10 with multiplicity 1? a)f(x) = 2(x – 4)(x – 4)(x – 4)(x + 10) b) f(x) = 2(x + 4)(x + 4)(x + 4)(x – 10) c)f(x) = 3(x – 4)(x – 4)(x + 10) d)f(x) = 3(x + 4)(x + 4)(x – 10)

The answer here is B.

This is because the leading coefficient is 2, as 2 is the first number in the function. We can immediately rule out C and D for this also.

If a root is negative, the factor will have an addition symbol inside. Since your root is -4, the factor will be (x + 4). Since (x + 4) is shown 3 times, it has a multiplicity of 3. We can rule out B for this, since the root would be +4 instead of -4.

Using the same root/factor rule (root and factor have opposite signs), B would be the right answer also because the root is +10 (the factor is x - 10) and is shown once (multiplicity of 1).