Creating Polynomials

Solve by factoring:
x² - 9x = 0

• 9
• 0, 9
• -9, 0
• -9

Which polynomial is written in standard form?

• -3x + 8x² + 9x³ - 11
• 9x³ + 8x² - 3x - 11
• 8x² + 9x³ -11 - 3x
• -11 - 3x + 8x² + 9x³

How many zeros does the polynomial function
y = 3x⁴ + 4x - 8 have?

• 1
• 2
• 3
• 4

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)

Create a polynomial from the following zeros: x = 3, -4

• x² + x - 12

• x² + 7x - 12

• x² - 7x - 12

• x² - x - 12

Write the polynonmial from the following zeros.

 x = -2, 1, 4

• $x^3-3x^2-8$

• $x^3-3x^2-6x+8$

• $x^3+8$

• $x^3-3x^2+8$

If you know 3 and 2i are roots of a polynomial function, state the polynomial factors.

• (x + 3) , (x + 2i)

• (x - 3), (x -2i), (x + 2i)

• (x - 3), (x + 3), (x - 2i), (x + 2i)

• (x -3 - 2i), (x + 3 - 2i)

What are the zeros of the polynomial function?
y = x(x - 6)(x + 5)

• 0, 6, -5
• 6, -5
• 0, -6, 5
• 1, -6, 5

Which of the following is NOT a factor of x³ + 7x² + 7x - 15 ?

• x + 3

• x + 5

• x - 1

• x - 2

For what value of a will the quadratic y = a(x - 1)(x + 5) pass through the point (3, -64)?

• a = -4

• a = -3

• a = 2

• a = 1/2