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3 years ago

Two roots of a third degree polynomial function f(x) are -4 and 4. Which statement describes the number and nature of all

Mathematics

2 answers:

Natasha2012 [34]3 years ago

8 0

Answer:

f(x) has three real roots.

Step-by-step explanation:

f(x) has three real roots.

A third degree polynomial function with real coefficients has exactly 3 roots.

Furthermore, all complex roots come in pairs, either there is none, or there are exactly two conjugates, which are in the form e1+i(e2) and e1-i(e2) where e1 and e2 are polynomial expressions.

This also means that a third degree polynomial with real coefficients has at least one real root, or three.

Since we are given two real roots for the given polynomial, the third root cannot be complex alone, so the only possibility is that there are three real roots.

ra1l [238]3 years ago

8 0

Answer: it has three real roots

Step-by-step explanation: B

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Match each expression written in standard form to the equivalent expression in factored form

den301095 [7]

Answer:

1. 15x^7y^2 + 4x^3 => x^3(15x^4y^2 + 4)

2. 15x^7y^2 + 3x => 3x(5x^6y^2 + 1)

3. 15x^7y^2 + 6xy => 3xy(5x^6y + 2)

4. 15x^7 + 10y^2 => 5(3x^7 + 2y^2)

Step-by-step explanation:

To obtain the answer to the question, first let us factorise each expression. This is illustrated below:

1. 15x^7y^2 + 4x^3

Common factor is x^3, therefore the expression is written as:

x^3(15x^4y^2 + 4)

2. 15x^7y^2 + 3x

Common factor is 3x, therefore the expression is written as:

3x(5x^6y^2 + 1)

3. 15x^7y^2 + 6xy

Common factor is 3xy, therefore the expression is written as:

3xy(5x^6y + 2)

4. 15x^7 + 10y^2

Common factor is 5, therefore the expression can be written as:

5(3x^7 + 2y^2)

4 0

3 years ago

PLEASE HELP!!!!

3241004551 [841]

Answer: Correct

Step-by-step explanation:

The conclusion is valid. Since $\overline{AB} \parallel \overline{DC}$ and $\overline{AD} \parallel \overline{BC}$ , we know that ABCD is a parallelogram because it has two pairs of parallel sides. Also, since $\overline{AB} \cong \overline{BC}$ , we know that ABCD is a parallelogram with a pair of consecutive congruent sides, making it a rhombus.

3 0

2 years ago

Please answer this question

Yuki888 [10]

Answer:

17.3

Step-by-step explanation:

a² = b² + c² - 2bc cos A

t² = 11² + 14² - 2(11)(14) cos 87

t² = 121 + 196 - 308 (.052336)

t² = 300.88

t = 17.3

4 0

3 years ago

a contractor needs to cut a piece of glass to fit a square window. the area of the window is 16 ft^2. find the length of the sid

Katyanochek1 [597]

Area = 16 ft.²

Use the square root process:

√16

√(4 * 4)

2√4 = 4

8 0

3 years ago

Read 2 more answers

you want 75,000 in your savings account 12 years from now and you are prepared to make equal annaul deposits into the account at

Tpy6a [65]

Answer:

Annual deposit= $3,474.39

Explanation:

Giving the following information:

You want to have $60,000 in your savings account 12 years from now, and you’re prepared to make equal annual deposits into the account at the end of each year. The account pays 6.4 percent interest.

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (60,000*0.064)/[(1.064^12)-1]= $3,474.39

plz mark brainly

5 0

3 years ago