Quarter 1 Week 1 Factoring Polynomials

Multiple Choice

Which of the following are the factors of $$21x^2\ +\ 7x$$  ?

• A. 2x(7+21x)

• B. 7(x+3)

• C. 7𝑥(3𝑥 + 1)

• D. 7𝑥(3𝑥 − 1)

Multiple Choice

Let A:  $$16x^2-81$$  ; B: (4x – 9)(4x + 9). If x = 4, which statement is true about the given expressions?

• A. A >B

• B. A<B

• C. A = B

• D. can not be determined

Multiple Choice

The area of a rectangle is represented by $$49x^2-121y^2$$  . Find an expression that represents its length and width.

• A. (7x -11y)(7x -11y)

• B. (7x + 11y)(7x -11y)

• C. (7x + 11y)(7x + 11y)

• $$D.(7x+11y^2)(7x+11y^2)$$  

Multiple Choice

In the expression  $$\frac{9x^8}{y^{14}}-4x^6$$  , what type of factoring is most appropriate to use?

• A. Factoring by Grouping

• B. Perfect Square Trinomial

• C. Difference of Two Squares

• D. Sum and Difference of Two Cubes

Multiple Choice

What is the sum of the factors of $$3x^2-11x-4$$  ?

• A. 4x - 3

• B. 3x-4

• C. 4x + 3

• D. 4x - 5

Fill in the Blank

What is the reverse process of the special product formulas?

Fill in the Blank

What is the common monomial factor of $$12x^2\ -\ 4x$$  ?

Fill in the Blank

One factor of $$16x^2-36$$  is 4x+6, what is the other factor?

Fill in the Blank

What mnemonic device can you use to track the signs of the factors of sum/difference of two cubes?

Multiple Choice

What is the factored form of $$x^2+4x\ +\ 4$$  ?

• (x-2)(x-2) or  $$\left(x-2\right)^2$$  

• (x+2)(x+2) or  $$\left(x+2\right)^2$$  

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