Illustrative Math - Algebra 2 - Unit 2 - Lesson 13 - Formative Library | Library

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1.

The polynomial function B(x)=x^{3}-21x+20 has a known factor of (x-4). Rewrite B(x) as a product of linear factors.

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2.

Let the function P be defined by P(x)=x^{3}+7x^{2}-26x-72 where (x+9) is a factor. To rewrite the function as the product of two factors, long division was used but an error was made:
How can we tell by looking at the remainder that an error was made somewhere?

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3.

For the polynomial function A(x)=x^{4}-2x^{3}-21^{2}+22x+40 we know (x-5) is a factor. Select all the other linear factors of A(x).

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4.

Match the polynomial function with its constant term.

		-210
		-42
		21
		42
		210

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5.

What are the solutions to the equation (x-2)(x-4)=8?

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6.

The graph of a polynomial function f is shown. Which statement is true about the end behavior of the polynomial function?

As x gets larger and larger in the either the positive or the negative direction, f(x) gets larger and larger in the positive direction.

As x gets larger and larger in the positive direction, f(x) gets larger and larger in the negative direction. As x gets larger and larger in the negative direction, f(x) gets larger and larger in the positive direction.

As x gets larger and larger in the positive direction, f(x) gets larger and larger in the positive direction. As x gets larger and larger in the negative direction, f(x) gets larger and larger in the negative direction.

As x gets larger and larger in the either the positive or negative direction, f(x) gets larger and larger in the negative direction.

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7.

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This lesson is from Illustrative Mathematics. Algebra 2, Unit 2, Lesson 13. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/2/13/index.html ; accessed 27/July/2021.

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