Solving Polynomial Equations and Quadratic Form

Let f(x) = 3x² - 9x +2. Is x = -3 a root of the function?

• yes

• no

Write in factored form.

• y = x(x - 3)(x - 2)

• y = x(x - 3)² (x+2)

• y = x(x + 3)² (x - 2)

• y = x(x + 3) (x - 2)²

Tags

CCSS.HSA.APR.B.3

f(x) = (x+2)(x-3)²(x-4) Which choice best describes the roots?

• -2, 3 (multiplicity 2), 4

• -2 (multiplicity 2), 3, 4

• 2, -3 (multiplicity 2), -4

• 2 (multiplicity 2), -3, -4

Tags

CCSS.HSF-IF.C.7C

Tags

CCSS.HSF-IF.C.7C

Which root has a multiplicity of 2?

• -1

• 2

• 4

• -4

Classify the following polynomial by degree and number of terms.

• Linear Binomial
  

• Quadratic Trinomial

• Quadratic Binomial

• Cubic Trinomial

Find the zeros of the function. State the multiplicities.

Tags

CCSS.HSF-IF.C.7C

• x = -3 and 8

• x = 3 and 8

• x = 3

• x = 3 and -8

Tags

CCSS.HSA-REI.B.4B

Maya and Arjun are solving polynomial equations. Which of these is in Standard Form? (check all that apply)

Answer explanation

Standard Form is when the terms are arranged in descending order of exponents. The correct choices are 2x^4-12x^2+5x-9 and 5x^5+4x^4+12x^3-23x+15.