C3: 3.1 - 3.4 Quiz Review

Write the polynomial in standard form. 
 $x^3+2x^2+4x^3$  

•  $2x^2+5x^3$  

•  $5x^3+2x^2$  

•  $2x^2+3x^3$  

•  $3x^3+2x^2$  

 $x^3+2x^2+4x^3$ Classify the polynomial by its degree and terms. 

• Quadratic Trinomial

• Quadratic Binomial

• Cubic Trinomial

• Cubic Binomial

 $4x^4+2x^2-5x^3$  State the end behavior of the polynomial.

• Up Up

• Up Down

• Down Up

• Down Down

 $7x-2x^3+5$  State the end behavior of the polynomial.

• Up Up

• Up Down

• Down Up

• Down Down

What is a cubic polynomial function in standard form with zeros -2, 2, and 5?

• $x^3-5x^2-4x+20$

• $x^3+5x^2-4x-20$

• $x^3-4x^2+5x-20$

• $x^3+4x^2-5x-20$

 $x^3+7x^2+12x=0$  Find the zeros of the polynomial.

• x = 0, 3, 4

• x = -3, 0, 4

• x = -4, 0, 3

• x = -4, -3, 0

 $3x^3+2x^2-4x-1$  Find the relative max and min of the polynomial. Round to the nearest tenth.

• Relative Max: (0.9, 1.7); Relative Min: (-0.6, -2.4)

• Relative Max: (-1.1, 2.3); Relative Min: (0.8, -3.4)

• Relative Max: (-0.9, 2.0); Relative Min: (0.5, -2.1)

• Relative Max: (1.1, -0.8); Relative Min: (-1.3, 0.4)

 $y=x\left(x+5\right)\left(x+5\right)\left(x-2\right)\left(x+5\right)$  What are the zeros of the polynomial? What are their multiplicities?

• x = -2 multicity of 1; x= 0 multiplicity of 1; x = 5 multicity of 3

• x = -5 multicity of 3; x= 0 multiplicity of 1; x = 2 multicity of 1

• x = -2 multicity of 1; x = 5 multicity of 3

• x = -5 multicity of 1; x= -2 multiplicity of 1; x = 0 multicity of 1

 $2x^3+4x^2-5\ \div\ x+3$  Use long division to find the quotient and the remainder of the two polynomials.

•  $2x^2+2x-6:\ Remainder:\ -13$  

•  $2x-2;\ Remainder:\ 6$  

•  $2x^2-6x+2;\ Remainder:\ 3$  

•  $2x^2-2x+6;\ Remainder:\ -23$  

Use long division to find the quotient and the remainder. $\left(27x^3+9x^2-3x-10\ \right)\div\ \left(3x-2\right)$  

•  $Q:\ 9x^2-9x+7;\ R:\ -3$  

•  $Q:\ 9x^2-9x-21;\ R:\ -52$  

•  $Q:\ 9x^2+18x+33;\ R:\ -2$  

•  $Q:\ 9x^2+9x\ +5;\ R:\ 0$