FOIL IT! Polynomials & Rational Expressions

Factor
x² + 9x - 36

• (x + 12)(x - 3)
• (x + 9)(x - 4)
• (x - 12)(x + 3)
• (x - 9)(x - 4)

(A²-B²) = ?

• (A + B)(A - B)

• (A-B)²

• (A - B)(A - B)

Tags

CCSS.HSA.APR.C.4

Simplify

• (x-9)/(x+9)
• 1/(x-9)
• (x+9)
• 1/(x+9)

Tags

CCSS.HSA.APR.D.6

Factor 36x² + 84x

• 9x(4x+9)

• 12x(3x+7)

• 12(3x²+7x)

• 9x²(4+9)

 $\frac{x+8}{6x+60}\ \div\ \frac{x^2-64}{x^2+2x-80}$  

Tags

CCSS.HSA.APR.D.6

Simplify the expression

(4x² - 6x - 8) + (3x² - 2x - 9)

• x² - 4x + 1

• 7x² - 8x - 17

• 12x² + 12x + 72

• 7x⁴ - 8x² - 17

Tags

CCSS.HSA.APR.A.1

Multiply:

 $\left(2x+3\right)\left(x^2+4x+5\right)$  

•  $2x^3+11x^2+22x+15$  

•  $2x^3-11x^2+12x+15$  

•  $2x^3+8x^2+10x+15$  

Tags

CCSS.HSA.APR.A.1

 $\frac{x^2-16x+63}{x^2-49}$  

•  $\frac{-16x+63}{-49}$  

•  $\frac{x-9}{x+7}$  

•  $\frac{\left(x-9\right)}{\left(x-7\right)}$  

• can't be simplified

Tags

CCSS.HSA.APR.D.6

 $\frac{2k^2-5k-3}{k^3-27}$  

•  $\frac{2k+1}{k^2+3k+9}$  

•  $\frac{-1-5k}{-27}$  

•  $\frac{\left(2k-1\right)\left(k+3\right)}{\left(k-3\right)\left(k^2+3k+9\right)}$  

•  $\frac{2k-1}{k^2+3k+9}$  

Tags

CCSS.HSA.APR.D.6

 $\left(Ax^4+3x^{2\ }-7x\right)-\left(5x^{4\ }+Bx\right)$  $=-3x^{4\ }+Cx^2-10x$  

Find A+B+C

• 8

• -8

• 2

• -2

Tags

CCSS.HSA.APR.A.1