Roots and Factors of Polynomials

Identify the zeros:

• x=2, x=6, x=-4

• (x+2)(x+6)(x-4)

• (x-2)(x-6)(x+4)

• x=-2, x=-6, x=4

Tags

CCSS.HSA.APR.B.3

2n³ + 7n² - 2n - 7

• cannot be factored

• (n - 1)²(2n + 7)

• (n² - 1)(2n + 7)

• (n + 1)(n - 1)(2n + 7)

Factor
x² - 4

• (x-2)²

• (x - 2)(x + 2)

• x(x - 4)

• 2x(x - 2)

Tags

CCSS.HSA.APR.C.4

Decide if (x-3) is a factor of 3x³+10x²-x-12

• Yes, it is a factor

• No, it is not a factor

Tags

CCSS.HSA.APR.B.2

Factor completely
k²+7x+10

• (k+2)(k+5)

• (k-2)(k-5)

• (k+10)(k+4)

• (k+2)(k-5)

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

• 3/2

• 6

• 2

• -6

How many possible roots does 2x³ + 8x² + 3x + 9 = 0 have based on the rational zero theorem?

•  3 possible roots

• 6 possible roots

• 12 possible roots 

• 24 possible roots

Which is not a factor of 

• (x-1)

• (x+2)

• (x-4)

• (x+3)

Tags

CCSS.HSA.APR.B.2

Describe how to create a list of rational zeros based on the Rational Root Theorem.

• Find the factors of the constant and factor it then divide it by the factors of the leading coefficient

• Factor all of the coefficients and divide them

• List all of the factors for the constant

• List all of the factors for the leading coefficient

Tags

CCSS.HSA.APR.B.2

Solve by quadratic formula
5x²-10x-40=0

• 4,-2

• (-5±√103)/12

• (-5±√337)/12

• 1±i√7

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7