Polynomials

Draw a polynomial with: an odd multiplicity at x=2 and even multiplicity at x=-5

(drawing does not have to be to scale)

What is the degree of this polynomial:

3xy²+4xzy+x³z²

• 5

• 3

• 2

• 4

Answer explanation

The degree of the polynomial is the degree of the highest term!

(Add exponents of each term)

What is the degree of the polynomial:

f(x)= yz+z³

What is the multiplicity of the factor

(x+5)²

• 3

• 5

• 2

• 1

Tags

CCSS.HSF-IF.C.7C

What is the degree of the polynomial:

f(x)= 3xyz+6x³y²+7xz⁵+x²

What is the multiplicity at x=-3

• ODD

• EVEN

Tags

CCSS.HSF-IF.C.7C

What is the value of y?

(x-2)^y

• 5

• 3

• 2

• 7

Answer explanation

Multiplicity must be even!

Tags

CCSS.HSF.IF.A.2

What is the degree of the polynomial

f(x)= 2x⁹+10x²+3x

The multiplicity at x=2 is odd.

• TRUE

• FALSE

Tags

CCSS.HSF-IF.C.7C

Draw a parabola opening up with zeros at x=-4 and x=1

Tags

CCSS.HSF-IF.C.7A