Writing Polynomial Functions from Zeros

The video tutorial reviews the fundamental theorem of algebra and demonstrates how to write polynomial functions from given zeros. It covers converting zeros into factors, handling complex numbers and radicals, understanding conjugate pairs, and determining polynomial degree. Advanced examples with fractions and imaginary numbers are also discussed.

What is the fundamental theorem of algebra used for in polynomial functions?

• To factorize quadratic equations

• To solve linear equations

• To determine the number of zeros

• To find the degree of a polynomial

How do you convert a zero of -11 into a factor?

• x^2 - 11

• x^2 + 11

• x + 11

• x - 11

Tags

CCSS.HSA.APR.B.2

What is the factor form of a zero at 3?

• x + 3

• x - 3

• x^2 - 3

• x^2 + 3

Tags

CCSS.HSA.APR.B.3

How do you handle imaginary zeros when converting them into factors?

• Divide both sides by the imaginary part

• Add the imaginary part to both sides

• Square both sides

• Subtract the imaginary part from both sides

Tags

CCSS.HSF-IF.C.7C

What is the factor form of a zero at √7?

• x - √7

• x + √7

• x^2 + 7

• x^2 - 7

Tags

CCSS.HSF-IF.C.7C

What does the fundamental theorem of algebra tell us about conjugate pairs?

• They always appear in pairs

• They are always real numbers

• They are always imaginary numbers

• They are always positive

Tags

CCSS.HSN.CN.C.9

How do you convert a zero of 2/3 into a factor?

• 3x - 2

• x - 2/3

• 3x + 2

• x + 2/3

Tags

CCSS.HSF-IF.C.7C

What is the degree of a polynomial with three zeros?

• 4

• 1

• 3

• 2

How do you handle a zero at √5 when converting it into a factor?

• x^2 + 5

• x^2 - 5

• x + √5

• x - √5

Tags

CCSS.HSA-REI.B.4B

What is the degree of a polynomial with zeros at 2i and -2i?

• 2

• 3

• 4

• 5