MATHEMATICS
HIGH SCHOOL

False

Answer:

A factor of a polynomial evenly divides the polynomial, without leaving a

remainder.

- The statement, the polynomial x² + 3·x + 1 is a factor of x³ + 2·x² - 5·x - 6 is; False

Reasons:

By long division we have;

Given that (x³ + 2·x² - 5·x - 6) ÷ (x² + 3·x + 1) = (x - 1) remainder (-3·x - 5), we have;

(x² + 3·x + 1) is not a factor of (x³ + 2·x² - 5·x - 6) because it does not evenly divides (x³ + 2·x² - 5·x - 6)

Therefore, the polynomial, x² + 3·x + 1 is not a factor of x³ + 2·x² - 5·x - 6, the

statement is false

Learn more about factors of a polynomial here:

brainly.com/question/4588168

Answer: Answer: False

x^3+2x^2-5x-6 factors to (x-2)(x+1)(x+3)

None of the pair of factors multiply to x^2+3x+1

(x-2)(x+1) = x^2-x-2

(x-2)(x+3) = x^2+x-6

(x+1)(x+3) = x^2+4x+3

x^3+2x^2-5x-6 factors to (x-2)(x+1)(x+3)

None of the pair of factors multiply to x^2+3x+1

(x-2)(x+1) = x^2-x-2

(x-2)(x+3) = x^2+x-6

(x+1)(x+3) = x^2+4x+3

MIDDLE SCHOOL

Choose the correct simplification of the expression the quantity:

A)

B)

C)

D)

Answer:

A)

Step-by-step explanation:

Fraction raised to an exponent.

Rule: To raise a fraction to an exponent, raise the numerator and the denominator to the exponent.

Raising a power to a power.

Rule: To raise a power to a power, multiply the powers.

Your problem:

We follow the first rule and raise the numerator and the denominator to the 3rd power.

Now we follow the second rule for both the numerator and denominator, and raise a power to a power by multiplying exponents.

Answer: A)

The answer is letter A

HIGH SCHOOL

For which segment lengths is QS¯¯¯¯¯ parallel to MN¯¯¯¯¯¯¯ ? A triangle with vertices labeled as Q, R, S. Side Q S is base. Sides R Q and R S contain midpoints M and N, respectively. A line segment is drawn from M to N. Select Parallel or Not parallel for each set of given information.

The given for this problem is:

QM=2, MR=4, SN=3, NR=5 QM=2, MR=5, SN=6, NR=15 QM=2, MR=8, SN=3, NR=12

So from the above question:

QM=2 MR=4 SN=3 NR=3) is not parallel

QM=2 MR=5 SN=6 NR=15) is parallel

QM=2 MR=8 SN=3 NR=12) is parallel

QM=2, MR=4, SN=3, NR=5 QM=2, MR=5, SN=6, NR=15 QM=2, MR=8, SN=3, NR=12

So from the above question:

QM=2 MR=4 SN=3 NR=3) is not parallel

QM=2 MR=5 SN=6 NR=15) is parallel

QM=2 MR=8 SN=3 NR=12) is parallel

Answer:

the above answer is correct

Step-by-step explanation:

I know because I took the test

MIDDLE SCHOOL

An item costs $4 before tax

and $4.32 after sales tax.

What is the sales tax rate?

Answer:

The sales tax rate of an item that costs $4 is 8%

Step-by-step explanation:

An item costs $4 before tax

The same item costs $4.32 after sales tax.

So the tax rate can be calculated as:

Tax rate = $4.32 - $4 = $0.32

Next, you must divide the tax rate by the original price in order to get the sales tax rate:

Sales tax rate = $0.32/4$ = 0.08

In percentage:

Sales tax rate % = 0.08x100% = 8%

Answer:

costs $4 is 8%

MIDDLE SCHOOL

Mr. And mes. Fisk have 8 children. Each of those children has 8 children how Many grandchildren do mr.fisk have?

Your going to multiply.

8 x 8 = 64

So they have 64 grandchildren.

Hope this Helps!!

You would do 8x8 not 8 to the power of 8