Foundations of College Algebra Solving Polynomials

What are the roots for x³ + 3x² - 34x + 48, x = 2?

• x = 2, x = 8, x = 3

• x = 2, x = -8, x = -3

• x = 2, x = -8, x = 3

• x = -2, x = 8, x = -3

• x = -2, x = 8, x = 3

How many times is synthetic division done when the polynomial has the power of 3?

• 3 times

• 2 times

• 5 times

• 7 times

• 1 time

What are the multiplicities for -x⁴ - 2x³ + 59x² + 60x - 900?

• x = 5, x = -6

• x = -5, x = -6

• x = 5, x = 6

• x = -5, x = 6

• x = 4, x = 5

What are the roots of -x⁴ - 9x³ + 3x² + 25x - 18, x = 1, x = -9?

• x = 1, x = -9, x = 1, x = 2

• x = 1, x = -9, x = 1, x = -2

• x = 1, x = 9, x = 1, x = -2

• x = -1, x = -9, x = -1, x = 2

• x = -1, x = 9, x = -1, x = -2

How many roots are given when the polynomial has a power of x³?

• 2

• 3

• 4

• 1

• 5

What are the roots of x⁴ + 24x³ + 209x² + 786x + 1080, x = -4, x = -9?

• x = -4, x = -9, x = 5, x = 6

• x = -4, x = -9, x = 5, x = -6

• x = -4, x = -9, x = -5, x = -6

• x = 4, x = 9, x = 5, x = -6

• x = 4, x = -9, x = 5, x = 6

How many times is synthetic division done when the polynomial has the power of 4?

• 2 times

• 1 time

• 5 times

• 4 times

• 3 times

Why are roots given in solving polynomial equations?

• They make it harder to solve the problem

• They are necessary for multiplication

• They help with the FOIL method

• They cause guess and check with roots

• They replace the P/Q list and help with factoring

What are the multiplicities of -x⁴ + 5x³ + 39x² - 9x + 162?

• x = 3

• x = -9

• x = 9

• x = -3

• x = 2

What are the roots of x³ - x² - 57x - 135, x = -3?

• x = -3, x = -9, x = -5

• x = -3, x = 9, x = -5

• x = -3, x = -9, x = 5

• x = -3, x = 9, x = 5

• x = 3, x = -9, x = -5