Factoring Quadratic Expressions

Lesson 7 Factoring Quadratic Expressions (Special Products)

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Multiple Choice

Match each quadratic expression given in factored form with an equivalent expression in standard form. One expression in standard form has no match.

(y+x)(y−x)

• $$121-x^2$$

• $$x^2+2xy-y^2$$

• $$y^2-x^2$$

• $$x^2-2xy+y^2$$

• $$x^2-121$$

Multiple Choice

Match each quadratic expression given in factored form with an equivalent expression in standard form. One expression in standard form has no match.

(11+x)(11−x)

• $$121-x^2$$

• $$x^2+2xy-y^2$$

• $$y^2-x^2$$

• $$x^2-2xy+y^2$$

• $$x^2-121$$

Multiple Choice

Match each quadratic expression given in factored form with an equivalent expression in standard form. One expression in standard form has no match.

(x−11)(x+11)

• $$121-x^2$$

• $$x^2+2xy-y^2$$

• $$y^2-x^2$$

• $$x^2-2xy+y^2$$

• $$x^2-121$$

Multiple Choice

Match each quadratic expression given in factored form with an equivalent expression in standard form. One expression in standard form has no match.

(x−y)(x−y)

• $$121-x^2$$

• $$x^2+2xy-y^2$$

• $$x^2-y^2$$

• $$x^2-2xy+y^2$$

• $$x^2-121$$

Open Ended

Fill in the Blanks

$x^2-144$  

Write in factored form.  If not possible, write "Not Possible"

Fill in the Blanks

$x^2+16$  

Write in factored form.  If not possible, write "Not Possible"

Fill in the Blanks

$25-x^2$  

Write in factored form.  If not possible, write "Not Possible"

Fill in the Blanks

$b^2-a^2$  

Write in factored form.  If not possible, write "Not Possible"

Fill in the Blanks

What are the solutions to the equation (x−a)(x+b)=0?

List your answers separated by a comma and a space.

Fill in the Blanks

$x^2-10x+21$  

Factor