Question

Determine the total number of roots of each polynomial function using the factores form? F(x) = (x-6)^2(x+2)^2

Answer 1

Answer:

4

Step-by-step explanation:

If we perform the indicated multiplication, the highest powered x term will be 4 (as in x^4).  Thus, the total number of roots of this polynomial will be 4.

Answer 2

Answer:

total number of roots =4

Step-by-step explanation:

the total number of roots of each polynomial function using the factored form

$F(x) = (x-6)^2(x+2)^2$

Given f(x) is in factored form, to get the roots we look at the factors and the exponents.

$(x-6)^2$ has exponent 2, so we have two roots 6 and 6

like that $(x+2)^2$ gives us two roots because it has exponent 2

So total number of roots for this polynomial function is 4