11.4-11.6 Quiz Review

Write the equation representing the given polynomial.

• p(x)=(x+5)(2x+3)(x-2)

• p(x)=(x-5)(2x-3)(x+2)

• p(x)=(x+5)(3x+2)(x-2)

• p(x)=(x-5)(3x-2)(x+2)

Find all zeros for the polynomial function  $p(x)=x^3-3x^2-5x+15$  

• 3, √5 

• 3, √5, -√5

• -3, √5, -√5

• -3, 5i, -5i

Find all zeros of the polynomial function  $p(x)=x^3+6x^2+9x+54$  

• 6, 3, -3

• -6, 3, -3

• -6, 3i, -3i

• 6, 3i, -3i

Solve by factoring:  $15x^3-18x^2-81x$  

(a)  

Solve by factoring!  $4x^4=84x^2$  

(a)  

Factor completely!!  $4x^2+25=0$  

(a)  

Solve.  $4x^2+6x+3=0$  

•  $\frac{-3\pm i\sqrt{3}}{4}$  

•  $\frac{-6\pm\sqrt{-12}}{8}$  

•  $\frac{-3\pm2i\sqrt{3}}{4}$  

•  $\frac{-3\pm\sqrt{3}}{4}$  

Describe the number and type of roots that exist for the polynomial:  $7x^2-18x+9=0$  

• 1 real, rational roots

• 2 real, rational roots

• 2 non-real roots

• 2 real, irrational roots