Finding Zeros and Multiplicities of Polynomials

The largest exponent determines the degree of the polynomial.

• True
• False

What is the degree of the polynomial function
P(x)=3x⁴-7x²-2x⁷-x+4

• 4
• 7
• 2
• 11

The degree of the polynomial determines the number of roots.

• True
• False

How many zeros should the polynomial function
 P(x) = 3x⁴+4x-8 have?

• 1
• 2
• 3
• 4

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

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

Which is a zero of the graph?

• 0
• -1
• 1.5
• -3

What are the zeros of the function?

• 4,1
• 3,1,-2,-5
• -3, -1, 2, 5
• -2,4

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

What are the roots of the polynomial function?
y = (x + 2)(x - 7)³

• -2, 7 multiplicity 3
• -2, 7, 3
• 2, -7 multiplicity 3
• 2, -7, 3

Which root has even multiplicity?

• 1
• -4
• -1
• 2