According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function? f(x) = (x3 – 3x + 1)2 2 roots 3 roots 6 roots 9 roots

Answers

Answer 1

Answer:

According to the Fundamental Theorem of Algebra, 6 roots exist for the polynomial function.

What is the fundamental Theorem of Algebra?

Fundamental Theorem of Algebra states that every polynomial equation of degree n with complex number coefficients has n roots, or solutions, in the complex numbers. The roots can have a multiplicity greater than zero.

Given polynomial function

$f(x)=(x^(3)-3x+1 )^(2)$

It has $(x^(3) )^(2)$ term in the given polynomial

The fundamental theorem of algebra guarantees that a polynomial equation has the same number of roots as its degree.

= 3 × 2

= 6

So, 6 roots exist for the polynomial function.

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Answer 2

Answer:

Answer:

The answer is C

Step-by-step explanation:

The roots are −1.87938524, 0.34729635, 1.53208888, −1.87938524, 0.34729635, and 1.53208888. That's 6 roots, which is C.

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Prove that if AC=DF and AB=DE then BC=EF

Answers

in triangle ABC and DEF
AC =DF, [ given ]
AB =DE, [ given ]
angle A = angle D
by SAS
ABC congruent to triangle DFE
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hence proved

What is 5/6 ÷ 5/16 ?

Answers

Answer:

2.66666666667 Rounded it would be 2.7

Step-by-step explanation:

A bowling alley charges $3.50 per game plus $5 to rent shoes. A second bowling alley charges $5 per game plus $2 to rent shoes. Howmany games would a person have to play for the two bowling alleys to cost the same amount?

Answers

Answer:

2 games for both bowling alleys to cost the same amount

factor each expression: 4n^2-8n+3, 4p^2+7p+3, 6r^2-23r+20, 5z^2+19z-4, 2k^2-13k-24, 6t^2+7t-5, 3x^2+23x-36, 4w^2-5w-6, 4d^2-4d-35

Answers

(2n-3)(2n-1), (4p+3)(p+1), (3r-4)(2r-5), (5z-1)(z+4), (2k+3)(k-8), (3t+5)(2t-1), (3x-4)(x+9), (4w+3)(w-2), (2d-7)(2d+5)

these are the answers in order, hope I helped :) please choose my answer as the best xx

Pablo folds a straw into a triangle with side lengths of 4x2 – 3 inches, 4x2 – 2 inches, and 4x2 – 1 inches. The perimeter of the triangle is 12x2 – 6 inches. If x = 1.5, what was the length of the straw before it was folded?

Answers

Since the perimeter of a triangle is merely the sum of all sides, the value of the perimeter would give us the length of the straw before it was folded. Given perimeter = 12x^2 - 6, where x = 1.5:

P = 12x^2 - 6
P = 12(1.5)^2 - 6
P = 21

Therefore, the length of the straw before it was folded is 21 inches.

Answer:

Step-by-step explanation: 21 because you sub 1.5 in for 12x^2 which is 12(1.5)^2 = 27 minus 6 is 21

C. 59 x 5 - 25 x 5-30