Roots, Zeros and Intercepts of Polynomials

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

• x-intercept

• zero

• root

• all of these.

Tags

CCSS.HSF-IF.C.7C

The degree of the polynomial determines the max number of roots.

• True

• False

Match the graph to the function

• f(x)= -x²+3x+2
• f(x) = -x³+2
• f(x) = x³+2
• f(x) = ⅓x⁴-5x²+2

How many roots or zeros does the equation

f(x) = 5x⁴-8x³+4x²-6x+3 have?

• 3

• 4

• 5

• 0

Which of the following polynomials is written in standard form?

• y = 7x³ − 5x² + 2x + 7

• y = 8 − 4x² + 3x + 2x³

• y = 10x² − 5x⁵ + 2x + 20

• y = 1 + 2x² − 3x³ + 4x⁴

Is the leading coefficient for the polynomial shown positive or negative?

• Negative

• Positive

• Cannot be determined

What is the degree of the polynomial shown in the image?

• 4

• 5

• 7

• 6

What is the y-intercept for the polynomial given:

y = 3x² + 9x⁵ − 4 + 10x⁸ + 2x⁹ ?

• 2

• -4

• 9

• 3

The polynomial given by: y = 3x² + 9x⁵ − 4 + 10x⁸ + 2x⁹ will have exactly how many zeroes?

• 5

• 2

• 9

• 8

Use the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial. 

• A
• B
• C
• D

Tags

CCSS.HSN.CN.C.9