Multiplying Binomials (FOIL)

1. $(4x+5)(3x-7)$

Which of the following is equivalent to the expression above?

  1. $12x-35$
  2. $12^x2-35$
  3. $12x^2-28x -35$
  4. $12x^2-13x-35$

2. $3(2x-1)(2x+2)$

Which of the following is equivalent to the expression above?

  1. $4x^2+4x-2$
  2. $4^x2+6x-2$
  3. $12x^2+6x -6$
  4. $12x^2+18x-6$

3. $g(x)=\dfrac{1}{(x-3)^2 - 2(x-3)+1}$

For what value of $x$ is the function $g$ above undefined?

 

4. $f(x)=\dfrac{1}{(x+2)^2 - 6(3x-7)+3}$

For what value of $x$ is the function $f$ above undefined?

 

5. If $(ax+1)(bx+9)=6x^2+cx+9$ for all values of $x$, and $a+b=5$, what are two possible values for $c$?

  1. 2 and 3
  2. 3 and 6
  3. 18 and 12
  4. 21 and 29

Answer Key: