# The polynomial x^2 +3x+1 is a factor of x^3+2x^2-5x-6 Please select the best answer from the choices provided True False

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

brainly.com/question/4588168

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

## Related Questions

Choose the correct simplification of the expression the quantity:

A)

B)

C)

D)

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.

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.

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

Step-by-step explanation:

I know because I took the test

An item costs \$4 before tax
and \$4.32 after sales tax.
What is the sales tax rate?​

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%

costs \$4 is 8%

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