Math 3 - Unit 3 Review (3.1 - 3.4)

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CCSS.7.EE.A.1

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CCSS.HSA.APR.A.1

Which expression represents the area of a rectangle with a length of (4x - 3) and a width of (3x² + 5x - 7)?

Hint: Area of a rectangle is length times width

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CCSS.HSA.APR.A.1

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CCSS.HSA.APR.D.6

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CCSS.HSA.APR.B.2

Which function has a remainder of 4 when divided by (x - 3)?

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CCSS.HSA.APR.B.2

Which statement best justifies whether (x + 3) is a factor of the polynomial p(x) = x³ - 3x² - 2x - 6?

• It is a factor of p(x) because the remainder is 0.

• It is a factor of p(x) because (x - 3) divides p(x) evenly.

• It is not a factor of p(x) because the remainder is -54.

• It is not a factor of p(x) because the remainder is -12.

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CCSS.HSA.APR.B.2

A DOUBLE ROOT is a root (zero or x-intercept) that has a minimum or maximum at the x-axis (kisses the x-axis). Refer to the picture for a visual.

Question: Which of the following polynomials has a double root at x = 3 from the choices below? Make sure to graph each one in Desmos.

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CCSS.HSA.APR.B.3