Find All Zeros of a Polynomial

Find all real solutions of the polynomial equation x³ - x² - 7x + 3 = 0

• x = 3, ± √2

• x = -3, -1 ± √2

• x = -1 ± √2

• x = 3, 1 ± √2

Find all real solutions of the polynomial equation x³ - 3x² - 2x + 4 = 0

• x = -1, 1 ± √5

• x = 1, 1 + √5

• x = 2, 1 ± √5

• x = 1, 1 ± √5

Tags

CCSS.HSA-REI.B.4B

Find all real solutions of the polynomial equation x³ - 3x² - x + 6 = 0

• x = 2, ½ ± √3/2

• x = -2, ½ ± √13/2

• x = 1, ½ ± √13/2

• x = 2 ½ ± √13/2

Find all real solutions of the polynomial equation x³+3x²-8x+4=0

• x = 1, 4, -2

• x=1, -2 - 2√2, -2 + 2√2

• x = -1, 2 ± √2

• x = 4, -1

Find all real solutions of the polynomial equation x³-3x²+2=0

• x = 1, - 1 ± √3

• x= -1, 1 ± √3

• x= 1 ± √3, -1

• x=1, 1 ± √3

Tags

CCSS.HSA-REI.B.4B

What is another way to say "where a function crosses the x-axis"?

• x-intercept

• zero

• root

• all of these.

Tags

CCSS.HSF-IF.C.7C

How many roots or zeros does the equation
f(x) = 5x⁴-8x³+4x²-6x+3 have?

• 3

• 4

• 5

• 0

One zero of 2x³-13x²+36 is 2.
What is another zero?

• 3/2

• 6

• 2

• -6

The degree of the polynomial determines the max number of roots.

• True

• False

How could you determine    if x-2 is a factor of 2x³-5x²+x-2?

• Use synthetic division and see if the quotient is even

• Ask the person sitting next to me

• Use synthetic division and see if the remainder is zero

• Flip a coin

Tags

CCSS.HSA.APR.D.6