Polynomial Fun Quiz

Froggy Jumps

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Test polynomial skills

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Noimie Dizon

Philippines

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Froggy Jumps Polynomial Fun QuizOnline version Test polynomial skills by Noimie Dizon 1 What is the degree of p(x)=3x^4-2x^3+5x-1? a 3 b 4 c 5 2 Which term dominates end behavior for large x in p(x)=2x^5+x^2? a 2x^5 leading term b x^2 term c constant term 3 If (x+3) is a factor, which theorem confirms this? a Factor Theorem b Rational Root Theorem c Remainder Theorem 4 What is the remainder when p(x) is divided by (x-2) called? a The Factor b The Quotient c The Remainder 5 Which property determines the number of real zeros of a polynomial? a Constant term b Multiplicity of zeros c Leading coefficient 6 A polynomial of degree 3 has end behavior: as x→∞, p(x)→∞ and as x→-∞, p(x)→-∞. True or false? a Depends on coefficients b True c False 7 What is the graph behavior of a polynomial with odd degree and positive leading coefficient? a Both ends up b Both ends down c Left end down, right end up 8 If p(x)=(x-1)(x+2)(x-3), what is a zero of p? a -2 b 1 c -3 9 What is a polynomial of degree 0 called? a Constant b Quadratic c Linear 10 Which operation helps find zeros by synthetic division using a known root? a Remainder Theorem application b Polynomial long division c Factor Theorem only

Froggy Jumps

Polynomial Fun QuizOnline version

Test polynomial skills

by Noimie Dizon

What is the degree of p(x)=3x^4-2x^3+5x-1?

Which term dominates end behavior for large x in p(x)=2x^5+x^2?

2x^5 leading term

x^2 term

constant term

If (x+3) is a factor, which theorem confirms this?

Factor Theorem

Rational Root Theorem

Remainder Theorem

What is the remainder when p(x) is divided by (x-2) called?

The Factor

The Quotient

The Remainder

Which property determines the number of real zeros of a polynomial?

Constant term

Multiplicity of zeros

Leading coefficient

A polynomial of degree 3 has end behavior: as x→∞, p(x)→∞ and as x→-∞, p(x)→-∞. True or false?

Depends on coefficients

True

False

What is the graph behavior of a polynomial with odd degree and positive leading coefficient?

Both ends up

Both ends down

Left end down, right end up

If p(x)=(x-1)(x+2)(x-3), what is a zero of p?

-2

-3

What is a polynomial of degree 0 called?

Constant

Quadratic

Linear

Which operation helps find zeros by synthetic division using a known root?

Remainder Theorem application

Polynomial long division

Factor Theorem only

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Polynomial Fun Quiz

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Froggy Jumps

Polynomial Fun QuizOnline version

by Noimie Dizon

What is the degree of p(x)=3x^4-2x^3+5x-1?

Which term dominates end behavior for large x in p(x)=2x^5+x^2?

If (x+3) is a factor, which theorem confirms this?

What is the remainder when p(x) is divided by (x-2) called?

Which property determines the number of real zeros of a polynomial?

A polynomial of degree 3 has end behavior: as x→∞, p(x)→∞ and as x→-∞, p(x)→-∞. True or false?

What is the graph behavior of a polynomial with odd degree and positive leading coefficient?

If p(x)=(x-1)(x+2)(x-3), what is a zero of p?

What is a polynomial of degree 0 called?

Which operation helps find zeros by synthetic division using a known root?

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