Writing Equations of Polynomials

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: 2 (Quadratic) 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)

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.

• $f(x)=-(x-3)(x-1)(x+1)$
  

• $f(x)=(x-3)^2(x-1)(x+1)$
  

• $f(x)=(x+3)(x+1)^2(x-1)$
  

• $f(x)=(x+3)^2(x+1)(x-1)$
  

What is the degree of the polynomial?

• 1

• 2

• 3

• 4

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 multiplicity at the x-intercept (1, 0)?

• constant

• linear

• quadratic

• cubic

What is another points on the graph (that is not a x-intercept)?

• (0, -5)

• (0, 0)

• (0, 5)

• (0, 10)

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)