Polynomials Degree Writing Equations

What is the possible degree of the graphed polynomial and is the leading coefficient positive or negative?

• Degree: 3 (Cubic) a: negative

• Degree: 3 (Cubic) a: positive

• Degree: 2 (Quadratic) a: negative

• Degree: 4 (Quartic) a: positive

• Degree: 4 (Quartic) a: negative

What equation could represent the graphed polynomial? Assume a is -1 or +1.

• f(x) = - x(x-2)(x+3)

• f(x) = (x-2)(x+3)

• f(x) = - x(x+2)(x-3)

• f(x) = x(x+2)(x-3)

Tags

CCSS.HSA.APR.B.3

What equation could represent the graphed polynomial? Assume a is -1 or +1.

Tags

CCSS.HSA.APR.B.3

What is the degree of the polynomial?

Mathematical Equivalence

ON

What are the x-intercepts of the polynomial? (Check all that apply.)

• -6

• -5

• -4

• -1

• 1

What is the multiplicity at the x-intercept (-5, 0)?

• constant

• linear

• quadratic

• cubic

What is the equation that represents this polynomial in intercept form? (Hint: you have to find a first)

• y = (x+5)(x-1)

• y = 5(x+5)(x-1)

• y = -(x+5)(x-1)

• y = -5(x+5)(x-1)

Tags

CCSS.HSF-IF.C.7A

What is the equation in factored form of this graph?

• f(x) = (x-4)(x-1)²(x+2)(x+4)

• f(x) = (x-4)(x+1)²(x+2)(x+4)

• f(x) = (x-4)(x-1)²(x-2)(x+4)

• f(x) = (x+4)(x+1)²(x-2)(x-4)

Tags

CCSS.HSA.APR.B.3

• f(x) = (x − 1)²(x + 2)(x + 4)³
• f(x) = (x + 1)(x − 2)(x − 4)
• f(x) = (x + 1)²(x − 2)(x − 4)³
• f(x) = (x + 1)(x − 2)(x − 4)³

What is the equation that represents this polynomial in intercept form? (Hint: you have to find a first)

Tags

CCSS.HSA.APR.B.3