Polynomial Functions Review Lesson

The function f(x)=2x⁶-3x⁴+2x-10 could...

• have 6 real zeros.
• have 6 turns.
• have 4 real zeros and 3 imaginary zeros.
• have ends that point in opposite directions.

The polynomial is...

• Odd degree, positive leading coefficient.
• Odd degree, negative leading coefficient.
• Even degree, positive leading coefficient.
• Even degree, negative leading coefficient.

This polynomial is degree 5.
It has...

• 4 real zeros.
• 3 imaginary zeros.
• positive leading coefficient.
• negative leading coefficient.

f(x)=(x+4)(x-3)(x-2)
List the zeros for this function.

• x=-4, x=3, x=-2
• x=-4, x=3, x=2
• x=-4, x=3, x=2
• x=4, x=3, x=2

Identify the zeros

• x=2, x=6, x=-4
• (x+2)(x+6)(x-4)
• (x-2)(x-6)(x+4)
• x=-2, x=-6, x=4

List the roots:

• x=-4, x=-4, x=2, x=5
• x=4, x=4, x=4, x=-2, x=-5
• x=-4, x=-4, x=-4, x=2, x=5
• x=-4, x=2, x=5

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

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

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

• 3, √5 
• 3, √5, -√5
• -3, √5, -√5
• -3, 5i, -5i

Find all zeros of the polynomial function P(x) = x³+6x²+9x+54

• 6, 3, -3
• -6, 3, -3
• -6, 3i, -3i
• 6, 3i, -3i

Find all zeros for the polynomial function P(x)= x³-3x²+12x-10

• 1, 1-3i, 1+3i
• 1, 1+3i, -1-3i
• -1, -1+3i, -1-3i
• -1, -5, 2