Polynomials

y = 8x² - 5x⁸ + 3x⁷-10x⁵

• down and down
• down and up
• up and down
• up and up

y = -6x³ - 2

• down and down
• down and up
• up and down
• up and up

List the roots of the polynomial.
f(x)=(x+4)³(x-2)² (x-5)

• Roots:   4, 2, 5
• Roots:  -4, 2, -5
• Roots:  -4, 2, 5
• Roots: -4,-2, -5

What is the y-intercept of the polynomial:
g(x)=-3(x+4)²(3x+2)²

• -192
• -147
• 147
• 8

Pick all statements that apply to this polynomial.

• It is an odd degree function.

• It is an even degree function.

• It has a positive leading coefficient.

• It has a negative leading coefficient.

• It has 3 real roots.

Select all statements that apply to this polynomial.

• This is an odd degree function.

• This is an even degree function.

• The leading coefficient is positive.

• The leading coefficient is negative.

f(x) = -3x⁴ + x³ - 2x² + x - 1

What is the y-intercept of f(x)?

• (-1, 0)

• (0, -1)

• (-3, 0)

• (0, -3)

What is another way to say "where a function crosses the x-axis"?

• x-intercept
• zero
• root
• all of these.

Please select the solution that describes if zeros crosses or turns at the x-axis for each x-intercept.

• 2 crosses, 1 crosses, -3 bounces, -4 bounces 
• 1 crosses, -3 bounces, - 4 crosses
• 1 crosses, -3 bounces, -4 bounces 
• 1 bounces, -3 crosses, -4 crosses  

Which equation is the polynomial in factored form?

• f(x) = (x-4)(x-1)(x+2)
• f(x) = (x+4)(x+1)(x-2)
• f(x) = (x-4)²(x-1)(x+2)²
• f(x) = (x+4)²(x+1)(x-2)²