MATHEMATICS HIGH SCHOOL

According to the Rational Root Theorem, which could be a factor of the polynomial f(x) = 60x4 + 86x3 – 46x2 – 43x + 8?x – 6
5x – 8
6x – 1
8x + 5

Answers

Answer 1
Answer: the answer is (6x-1)
Answer 2
Answer:

Answer: The answer is (B) (8)/(5) and (C) (1)/(6).

Step-by-step explanation: The given polynomial is

f(x)=60x^4+86x^3-46x^2-43x+8.

We are to select the correct option that could be a factor of the polynomial f(x) according to the Rational Root Theorem.

The Rational Root Theorem states that:

If the polynomial  P(x)= a_nx^n+a_(n-1)x^(n-1)+\cdots+a_2x^2+a_1x+a_0 has any rational roots, then they must be of the form \pm\frac{\textup{factors of }a_0}{\textup{factors of }a_n}.

Factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 and factors of 8 are 1, 2, 4 and 8.

Out of the given options, only (8)/(5) and (1)/(6) can be written in the form  \pm\frac{\textup{factors of }a_0}{\textup{factors of }a_n}., because

(8)/(5)=\frac{\textup{a factor of 8}}{\textup{a factor of 60}},\n\n(1)/(6)=\frac{\textup{a factor of 8}}{\textup{a factor of 60}}.

Thus, (B) and (C) are the correct options.

 

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Which is greater 2/3 or 2/6

Answers

2/3 because 2/6 would equal 1/3
Find the common denominator 

2/3--->4/6

2/6--->2/6

4/6 is greater than 2/6.

2/3 is greater than 2/6.

Convert 3.2 repenting decimal into a fraction

Answers

x =3.\bar{2}\n10x = 32.\bar{2}\n\n 10x - x = 32.\bar{2} - 3.\bar{2}\n9x = 29\nx = (29)/(9)\n\n\n \boxed{\bf{(32)/(9) = 3.\bar{2}}}

Simplify 8d-6e - 3d + 4e.

Answers

Answer: 5d-2e

Step-by-step explanation:

To solve this equation, we have to combine like terms. In this equation, we have two like terms, terms with the variable e, and terms with the variable d. So to combine the terms, we have to perform arithmetic operations.

In this case we only have to add and subtract.

So, -6e+4e=-2e (-6+4=2)

And, 8d-3d=5d (8-3=5)

Therefore, our answer is 5d-2e.

Hope that helped

:)

From a survey, a reporter determined that the true estimate for the proportion of citizens who plan to sign a petition is between 68% and 74%. What is the survey’s margin of error?

Answers

Answer:

Therefore, the survey's margin of error is ±3%

Step-by-step explanation:

From a survey, a reporter determined that true estimate for the proportion of citizens who plan to sign a petition is between 68% and 74%.

given estimate range = 68% to 74%

Margin of error = (74% - 68%) ÷ 2

6 ÷ 2 = 3%

Therefore, the survey's margin of error is ±3%
±3% this was the answer from my test 

What does the fundamental theorem of algebra and its corollary tell you about the roots of the polynomial equation p(x)=0 where p(x) has degree n?

Answers

Answer:

A polynomial with complex coefficients of degree n has n complex roots, counted with multiplicity.

Step-by-step explanation:

We are given a polynomial p(x) in the question with degree n.

The degree n means the n is the highest power of variable in the given polynomial.

The equation:

p(x) = 0

Fundamental theorem of Algebra

  • The Fundamental theorem of Algebra states that a a polynomial of degree n will have n roots of the equation.

This can further be explained as:

  • A polynomial with complex coefficients of degree n has n complex roots, counted with multiplicity.

The local video store charges a monthly membership fee of $5 and $2.25 per video, write this as a algebraic expression

Answers

Answer:

$5 + ($2.25x)

Step-by-step explanation:

The local video store charges a monthly membership fee = $5

and per video charges = $2.25

Let the videos taken = x

So, the algebraic expression to calculate the total monthly charges will be

$5 + ($2.25x)
$5+ ($2.25x)=y

I believe this is correct.
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