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1 year ago

If (3x2 + 22x + 7) ÷(x + 7) = 3x + 1, then (x + 7)

Mathematics

1 answer:

Hitman42 [59]1 year ago

7 0

Answer: The rest of the statement is (3x+1) = 3x²+22x+7.

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I can’t figure out how to use the zeros in the polynomial. Please explain

Temka [501]

Answer:

a) $P (x) = (x + 3) (x-1) (x-4)$

b) $P (x) = (2x + 5) (5x - 4) (x-6)$

c) $P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2$

Step-by-step explanation:

For the question a * you need to find a polynomial of degree 3 with zeros in -3, 1 and 4.

This means that the polynomial P(x) must be zero when x = -3, x = 1 and x = 4.

Then write the polynomial in factored form.

$P (x) = (x + 3) (x-1) (x-4)$

Note that this polynomial has degree 3 and is zero at x = -3, x = 1 and x = 4.

For question b, do the same procedure.

Degree: 3

Zeros: -5/2, 4/5, 6.

The factors are

$x = -\frac{5}{2}\\\\x +\frac{5}{2} = 0\\\\(2x +5) = 0$

---------------------------------------

$x =\frac{4}{5}\\\\x-\frac{4}{5} = 0\\\\(5x-4) = 0$

--------------------------------------

$x = 6\\\\(x-6) = 0$

--------------------------------------

$P (x) = (2x + 5) (5x - 4) (x-6)$

Finally for the question c we have

Degree: 5

Zeros: -3, 1, 4, -1

Multiplicity 2 in -1

$x = -3\\\\(x-3) = 0$

--------------------------------------

$x = 1\\\\(x-1) = 0$

--------------------------------------

$x = 4\\\\(x-4) = 0$

----------------------------------------

$x = -1\\\\(x + 1) = 0$

-----------------------------------------

$P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2$

8 0

2 years ago

A building is 2ft from a 7 ft fence that surrounds the property. A worker wants to wash a window in the building 11ft from the g

777dan777 [17]

Answer:

Step-by-step explanation:

plug the numbers into the Pythagorean theorem

which is A^2 + B^2 = C^2

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2 years ago

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Find the supplement of an angle that measures 20 degrees.

OLEGan [10]

Supplementary angles add to be 180 degrees. If one angle is 20. The supplement angle is 160.
180 - 20 = 160
160 is your answer.

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1 year ago

Round each number to the place of the underlined digit the 4 is underlined in 324,650

Otrada [13]

Answer: my bad 324,000 isnt the answer. Its 325,000

Step-by-step explanation:

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2 years ago

Which statements are true about the interquartile range? Select all that apply.

kap26 [50]

Is there a picture? there's not enough info

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2 years ago

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