Prep for Algebra II - Unit 5 - Factoring Poly. & Solving Eq.

Q1. Find the degree of the polynomial.

 $s^4t^2$  

•  $4$  

•  $7$  

•  $6$  

•  $1$  

Q2. Find the sum of the polynomials.

 $\left(3p^2+3p-2\right)+\left(-6p^2+5p-5\right)$  

•  $6p^2-p-7$  

•  $-3p^2+3p-2$  

•  $-3p^2+8p-7$  

•  $9p^2-2p+3$  

Q3. Find the difference of the polynomials.

 $\left(-3d^2+d-3\right)-\left(-5+3d\right)$  

•  $-3d^2-2d+2$  

•  $-3d^2-2d-8$  

•  $-3d^2+4d+2$  

•  $-3d^2+2d-8$  

Q4. Solve the equation.

 $6b^2-6b=3b^2$  

•  $b=0\ ,\ b=2$  

•  $b=0\ ,\ b=-\frac{2}{3}$  

•  $b=0\ ,\ b=-2$  

•  $b=0\ ,\ b=\frac{2}{3}$  

Q5. Solve the equation.

 $4n^2-18n=6n$  

•  $n=0\ ,\ n=3$  

•  $n=0\ ,\ n=6$  

•  $n=0\ ,\ n=-6$  

•  $n=0\ ,\ n=\frac{1}{6}$  

Q6. Factor the polynomial completely.

 $21y^3+49y^2$  

•  $7y^2\left(3y+7\right)$  

•  $7y^2\left(3y+49\right)$  

•  $7\left(3y+7\right)$  

•  $7y^2\left(3y-7\right)$  

Q7. Factor the polynomial completely.

 $x^2+2x-63$  

•  $\left(x+7\right)\left(x+9\right)$  

•  $\left(x+7\right)\left(x-9\right)$  

•  $\left(x-7\right)\left(x+9\right)$  

•  $\left(x-7\right)\left(x-9\right)$  

Q8. Factor the polynomial completely.

 $7x^2-91x+84$  

•  $\left(x-12\right)\left(7x-7\right)$  

•  $\left(x+12\right)\left(7x+7\right)$  

•  $7\left(x+1\right)\left(x+12\right)$  

•  $7\left(x-1\right)\left(x-12\right)$  

Q9. Factor the polynomial completely.

 $4x^2-11x-3$  

•  $\left(4x-1\right)\left(x-3\right)$  

•  $\left(4x+1\right)\left(x+3\right)$  

•  $\left(4x+1\right)\left(x-3\right)$  

•  $\left(4x-1\right)\left(x+3\right)$  

Q10. The polynomial  $p^2-10p+25$  represents the area (in square inches) of a square dinner plate. Which expression represents the side length of the plate?

•  $\left(p-5\right)in^2$  

•  $\left(p+5\right)^2in$  

•  $\left(p-5\right)in$  

•  $\left(p+5\right)in$