Solving All Real Number Solutions Polynomials

Olivia is solving the equation x^2 - 4x = -8 in her math class. Which statement gives the number and type of solutions for this equation?

• The equation has one real solution.

• The solutions can only be determined by graphing.

• The equation has two real solutions.

• The equation has two nonreal complex solutions.

Michael is studying quadratic polynomials and is trying to determine which pair of values could not be the roots of a quadratic polynomial. Which pair should he choose?

• 3 and 14

• -5 and -5i

• -2 + 3i and -2 - 3i

• -14 and 14

• 2
• 1
• 4
• None

3x⁷ - 21x⁴ = 24x (Make sure to select all answers)

• 0

• 2

• -2

• -1

• 1

How many real solutions does the function have?

• 0

• 1

• 2

• 3

x³ - 5x² = 4x - 20 (Make sure to select all answers)

• 5

• -5

• 2

• -2

3x³ - 15x² = -x + 5 (Make sure to select all answers)

• x = 1/3

• x = -1/3

• x = -5

• x = 5

The polynomial
f(x) = 5x⁴ + 2x³ + 2x − 7 can have, at most, how many solutions?

• 5

• 4

• 3

• 2

What are the solutions of 3x^5 - 3x^3 ?

• x = 0 , 1

• x = -3, 0 , 5

• x = -1, 0 , 1

• x = -3, 0 , 3

x³ - 343 = 0 (Make sure to select all answers)

• x = 19

• x = -7

• x = 7

• No Real Solution