Find the root(s) of f (x) = (x- 6)2(x + 2)2.
options are:
a.-6 with multiplicity 1
b.-6 with multiplicity 2
c.6 with multiplicity 1
d.6 with multiplicity 2
e.-2 with multiplicity 1
f.-2 with multiplicity 2
g.2 with multiplicity 1
h.2 with multiplicity 2

The roots of are and . Option (d) and option (f) are correct.

Further explanation:

The Fundamental Theorem of Algebra states that the polynomial has n roots if the degree of the polynomial is n.

The polynomial function has n roots or zeroes.

Given:

The equation is

Explanation:

The given equation is

According to the Fundamental Theorem of Algebra the function has 4 roots.

Solve the above equation to obtain the zeros.

The roots are

The roots of and .Option (d) and option (f) are correct.

Learn more:

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Polynomial

Keywords: roots, linear equation, quadratic equation, zeros, function, polynomial, solution, cubic function, degree of the function, multiplicity of 1, multiplicity of 2.

-4

step-by-step explanation:

(-4+8)=-(4-8)=-8+4=-4

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.