Understanding zeroes and factors of polynomials

Understanding zeroes and factors of polynomials

9th - 12th Grade

20 Qs

quiz-placeholder

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Understanding zeroes and factors of polynomials

Understanding zeroes and factors of polynomials

Assessment

Quiz

Mathematics

9th - 12th Grade

Hard

Created by

Wayground Content

FREE Resource

20 questions

Show all answers

1.

FILL IN THE BLANK QUESTION

30 sec • 1 pt

 If α and β are zeroes of f(x)=px22x+3p   and     α+β=αβ    then find pIf\ \alpha\ and\ \beta\ are\ zeroes\ of\ f\left(x\right)=px^2-2x+3p\ \ \ and\ \ \ \ \ \alpha+\beta=\alpha\beta\ \ \ \ then\ find\ p  

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Write in factored form using the following roots.


7, -2i

(x-7)(x-2i)

(x-7)(x+2i)(x-2i)

(x-7)(x+2i)

(x-7)(x+7)(x-2i)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Write a polynomial function of least degree with integral coefficients and have zeros 2, 1, -1.

x3 - 2x2 - x + 2

x3 + 2x2 - x + 2

x3 - 2x2 - x - 2

x3 - 2x2 + x + 2

4.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

-4

-3

-2

2

4

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which polynomial function represents this graph?

f(x) = (x + 7)(x + 5)(x 5)

f(x) = (x + 7)(x – 5)(x + 5)

f(x) = (x + 7)(x + 5)(x + 5)

f(x) = (x – 7)(x – 5)(x – 5)

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Select a polynomial function of degree 6 whose zeros are given.

Zeros: – 4(multiplicity of 2), 5(multiplicity of 2), – 1, 6

 f(x)=(x+4)4(x5)2(x+1)(x6)f\left(x\right)=(x+4)^4(x-5)^2(x+1)(x-6) 

 f(x)=(x+4)2(x5)2(x+1)(x6)f\left(x\right)=(x+4)^2(x-5)^2(x+1)^{ }(x-6)^{ } 

 f(x)=(x+4)3(x5)2(x+1)f\left(x\right)=(x+4)^3(x-5)^2(x+1) 

 f(x)=(x+4)2(x5)(x+1)(x6)f\left(x\right)=(x+4)^2(x-5)(x+1)(x-6) 

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Write the factored form of the graph.

y=x(x-2)(x-4)(x-1)

f(x)=(x+2)(x-1)(x-4)

g(x)=(x+1)(x+2)(x-1)(x-4)

h(x)=x(x+2)(x-1)(x-4)

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