September 1 Polynomial Factors, Intercepts and Degree

Authored by Amber Kendall

Mathematics

9th - 12th Grade

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September 1 Polynomial Factors, Intercepts and Degree

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10 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the degree of this polynomial?
$y\ =10\left(x-5\right)^2\left(x+2\right)\left(x-3\right)^3$

Tags

CCSS.HSA.APR.A.1

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Which of these are zeroes for $y=\left(x-2\right)\left(x-4\right)^2\left(2x+1\right)$ ?

-2

-1/2

1/2

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the degree of the polynomial $y=-5x^2+6x^3-8$ ?

-5

-8

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the y-intercept for the function $y=\left(x-2\right)\left(x+9\right)\left(x+1\right)$ .

-18

-9

Tags

CCSS.HSA.APR.A.1

FILL IN THE BLANKS QUESTION

1 min • 1 pt

What is the y-intercept for $y=\left(x-2\right)^2\left(x+4\right)\left(x-3\right)$ ?

(a)

Tags

CCSS.HSA.APR.A.1

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Click all the functions that have the same degree.

$y=x^2+5x-7$

$y=\left(x+5\right)^2\left(x-7\right)$

$y=x+x^2-3x^3$

$y=\frac{1}{4}x^3$

FILL IN THE BLANKS QUESTION

1 min • 1 pt

What root(s) are common to these two functions?

$f\left(x\right)=\left(x-12\right)\left(x+3\right)^2\left(x+11\right)$
$g\left(x\right)=\left(x+3\right)\left(x+12\right)^3\left(x+1\right)$

(a)

Tags

CCSS.HSF-IF.C.7C

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the zeroes of this polynomial?

$y=\left(x+\frac{1}{2}\right)\left(x-2\right)\left(3x-5\right)$

1/2, -2, -5

-1/2, 2, 5/3

1/2, -2, -5/3

Tags

CCSS.HSF-IF.C.7C

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the degree of this function?
$y=\left(x-1\right)\left(x+2\right)\left(x-3\right)\left(x-5\right)$

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many different (distinct) roots does this function have?

$y=5\left(x-9\right)^2\left(x+3\right)\left(2x-19\right)^3\left(17x+35\right)$

Tags

CCSS.HSF-IF.C.7C

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September 1 Polynomial Factors, Intercepts and Degree

What is the degree of this polynomial? y =10(x−5)2(x+2)(x−3)3y\ =10\left(x-5\right)^2\left(x+2\right)\left(x-3\right)^3y =10(x−5)2(x+2)(x−3)3

Which of these are zeroes for y=(x−2)(x−4)2(2x+1)y=\left(x-2\right)\left(x-4\right)^2\left(2x+1\right)y=(x−2)(x−4)2(2x+1) ?

What is the degree of the polynomial y=−5x2+6x3−8y=-5x^2+6x^3-8y=−5x2+6x3−8 ?

Find the y-intercept for the function y=(x−2)(x+9)(x+1)y=\left(x-2\right)\left(x+9\right)\left(x+1\right)y=(x−2)(x+9)(x+1) .

What is the y-intercept for y=(x−2)2(x+4)(x−3)y=\left(x-2\right)^2\left(x+4\right)\left(x-3\right)y=(x−2)2(x+4)(x−3) ? (a)

Click all the functions that have the same degree.

What root(s) are common to these two functions? f(x)=(x−12)(x+3)2(x+11)f\left(x\right)=\left(x-12\right)\left(x+3\right)^2\left(x+11\right)f(x)=(x−12)(x+3)2(x+11) g(x)=(x+3)(x+12)3(x+1)g\left(x\right)=\left(x+3\right)\left(x+12\right)^3\left(x+1\right)g(x)=(x+3)(x+12)3(x+1) (a)

What are the zeroes of this polynomial? y=(x+12)(x−2)(3x−5)y=\left(x+\frac{1}{2}\right)\left(x-2\right)\left(3x-5\right)y=(x+21​)(x−2)(3x−5)

What is the degree of this function? y=(x−1)(x+2)(x−3)(x−5)y=\left(x-1\right)\left(x+2\right)\left(x-3\right)\left(x-5\right)y=(x−1)(x+2)(x−3)(x−5)

How many different (distinct) roots does this function have? y=5\left(x-9\right)^2\left(x+3\right)\left(2x-19\right)^3\left(17x+35\right)y=5(x−9)2(x+3)(2x−19)3(17x+35)

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What is the degree of this polynomial?
$y\ =10\left(x-5\right)^2\left(x+2\right)\left(x-3\right)^3$

Which of these are zeroes for $y=\left(x-2\right)\left(x-4\right)^2\left(2x+1\right)$ ?

What is the degree of the polynomial $y=-5x^2+6x^3-8$ ?

Find the y-intercept for the function $y=\left(x-2\right)\left(x+9\right)\left(x+1\right)$ .

What is the y-intercept for $y=\left(x-2\right)^2\left(x+4\right)\left(x-3\right)$ ?

(a)

What root(s) are common to these two functions?

$f\left(x\right)=\left(x-12\right)\left(x+3\right)^2\left(x+11\right)$
$g\left(x\right)=\left(x+3\right)\left(x+12\right)^3\left(x+1\right)$

(a)

What are the zeroes of this polynomial?

$y=\left(x+\frac{1}{2}\right)\left(x-2\right)\left(3x-5\right)$

What is the degree of this function?
$y=\left(x-1\right)\left(x+2\right)\left(x-3\right)\left(x-5\right)$

How many different (distinct) roots does this function have?

$y=5\left(x-9\right)^2\left(x+3\right)\left(2x-19\right)^3\left(17x+35\right)$