2.07: Alegbra Complex Numbers and 3.02: Work with Polynomials & 3.04 , 4.04

Which expression is equal to (−12−2i)+(2+2i)?

-10

Noemi wants to divide 2x2−x+4 by x−5 using synthetic division. Which answer shows the correct process?

2 9 49

What is the remainder when the polynomial 5x2+10x−15 is divided by x + 5?

60

What are the real and imaginary parts of the complex number? −6−i−6−i Enter your answers in the boxes.

The real part: -6 The imaginary part: -i

3.07: What is the solution set to the equation (2x−4)(4x−5)=0(2x−4)(4x−5)=0?

{54, 2}

What are the solutions to the equation? 7x3=28x

0, 2, -2

What are the solutions to the equation? x2(4x−3)(5x−1)=0x2(4x−3)(5x−1)=0 Enter your answers in the boxes.

0, 3/4, 1/5

What is the remainder when the polynomial 8x2+4x−38x2+4x−3 is divided by 2x−12x−1?

1

Which expression is equal to −2i(−9+6i) ?

12+18i

What are the roots of the polynomial equation? 0=x2−26x+48

2, 24

3.02: Multiply. (5+2i)(4−3i)

26-7i

Simplify. (4x2−3x+2)−(2x2+5x−7)

2x2−8x+9

What is the result of dividing 2x3+6x2+6x+22x3+6x2+6x+2 by x+1x+1 ?

2x^2+4x+2

Which expression is equal to (5−2i)−(1+3i)?

4-5i

Simplify. (6x−5+4x2)+(2x−2)

4x2+8x−7

What are the solutions to the equation? x3−8x2−x+8=0

8, -1, 1

What is the degree of the polynomial 5pq2−3p6+5p6q3−6p3q55pq2−3p6+5p6q3−6p3q5 ? Enter your answer in the box.

9

Which expressions are polynomials? Select each correct answer.

9x2(y5)9x2(y5) 4x2(y5)4x2(y5) 8x2(3y)

Which description is correct for the polynomial 3x4+x+73x4+x+7?

quartic trinomial

4.04: What is the result of dividing x3−7x3−7 by x + 2?

x2−2x+4−15/x+2