Math 3 Roots and Factors

The largest exponent determines the degree of the polynomial.

• True
• False

Put the following polynomial in standard form.

-x² + 5x⁴ - 10 + x

• 5x⁴ - x² + x - 10

• -x² + 5x⁴ - 10 + x

• • 10 + 5x² + x² + x
• - 10 + - x + x² + 5x⁴

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

• 4
• 7
• 2
• 11

What is the Degree of this polynomial:

f(x)= x³(x + 3)²(x – 5)

(Hint - what would the highest exponent be if you multiplied all the terms?)

• Degree: 6

• Degree: 5

• Degree: 3

• Degree: 2

The degree of the polynomial determines the number of roots.

• True
• False

The polynomial is...

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

Tags

CCSS.HSF-IF.C.7C

What are the roots of the following factored polynomial?
(x+1)(x-1)(2x+1)=0

• x= -1/2, -1, 1
• x= 1/2, -1, 1
• x = - ± 1
• x= 1/2, 1

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

If the roots are x = 2 and x = -5 with a multiplicity of 2, what is the equation?

• y = (x - 2)(x + 5)²

• y = 2(x + 5)(x - 2)

• y = 2(x - 5)(x + 2)

• y = (x + 2)(x - 5)²