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.

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40