Polynomials Adding Subtracting and Dividing by a Monomial

To divide these polynomials, the first thing we do is:

• Add all the coefficients of the 3rd degree polynomial

• Determine the degree of the polynomial

• Divide the leading coefficients

• Put the 3rd degree polynomial inside the division bracket and the binomial outside

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CCSS.HSA.APR.D.6

Is this the proper setup to begin?

• Yes

• No

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CCSS.HSA.APR.D.6

• It matches the term below it

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CCSS.HSA.APR.D.6

• We have to eliminate the first term, so we picked it.

• It's wrong

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CCSS.HSA.APR.D.6

After we subtract and bring down, the next step is to...

• calculate the remainder

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CCSS.HSA.APR.D.6

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CCSS.HSA.APR.D.6

We got the 5 by...

• add 2 and 3

• we guessed

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CCSS.HSA.APR.D.6

This problem....

• has no remainder

• in not factorable

• has no leading coefficient

• can be simplified to a monomial

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CCSS.HSA.APR.D.6

(5x⁴ - 4x³ - 2x² + x - 19) - (x⁴ + 5x³ + 8x² + x + 5)

• 4x⁴ - 9x³ - 10x² - 24

• 4x⁴ - 9x³ - 10x² - 2x - 24

• 4x⁴ - 9x³ - 10x² + 2x - 24

• -4x⁴ - 9x³ - 10x² - 24

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CCSS.HSA.APR.A.1

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

• 3y³ + 7y² - 4y + 3

• 4y² + 3y³ - y + 3

• -y⁴ + 2y³ -y - 4

• 4y³ + 3y² -3y + 1

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CCSS.HSA.APR.A.1