Roots of a Polynomial

Find all the real zeros of the function

y = 2x³ - 19x² + 38x + 24 given that (x-4) is a factor.

• x = 1/2, -6

• x = -1/2, 6

• x = 4, -1/2, 6

• x = -4, 1/2, -6

Tags

CCSS.HSA.APR.B.2

Find the roots of y=x³ - 4x² + 2x - 8

• ±2,4

• ±2i,4

• ±i√2,4

• ±√2,4

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Find all the roots of y = x³ - 2x² + 4x - 8

• -2, 2i, -2i

• 2, 2i, -2i

• 2,-2, 2i

• 1, 2i, 4

True or False: If (7x + 4) is a factor of some polynomial function, then 4/7 is a zero of the function.

• True

• False

Tags

CCSS.HSA.APR.B.2

Find all zeroes given a factor of (x+3).

y = 2x³ + 5x² - 6x - 9

• -1,-3,-3

• -1,-3,3/2

• 3,3,3

• -3,2/3,-1

Tags

CCSS.HSF-IF.C.7C

Find all zeros.

y = x⁴ - 3x³ + 4x² - 8

• 1, -2, (2±2i√3)/2

• -1, 2, (2±2i√3)/2

• 1, -2, (2±2i√5)/2

• -1, 2, (2±2i√5)/2

7x² - 26x - 8 = 0

• x = -1 and x = -7/8
• x = 4 and x = -2/7
• x = -4 and x = 2/7
• x = 4 and x = -7/2

Solve by factoring:  4x² + 11x - 3 = 0

• x = -3/4 and x = -1
• x = 4 and x = 3
• x = 1/4 and x = -3
• x = -1/4 and x = 3

Factor: 49x² - 100

• (49x + 100)(x - 1)

• (7x - 10)(7x - 10)

• (49x - 10)(x + 10)

• (7x -10)(7x + 10)

Tags

CCSS.HSA.APR.C.4

Solve by quadratic formula 8x²- 6x -1= 0

• (6 ± 2i)/16

• (6 ± 2√17)/8

• (-6 ± 2i)/16

• (6 ± 2√17)/16