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Polynomials of Higher Degree (VCE SSCE Mathematical Methods): Quizzes

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Polynomials of Higher Degree

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What is the degree of a quartic function?

In $f(x) = ax^4 + bx^3 + cx^2 + dx + e$ , why must $a \neq 0$ ?

The $x^4$ term would disappear

What is the maximum number of x-intercepts a quartic function can have?

Which statement about odd degree polynomials is true?

Must have at least one x-intercept

If $P(a) = 0$ , what does the factor theorem tell us?

$(x-a)$ is a factor of $P(x)$

What happens at an x-intercept where a factor is raised to an even power?

Graph touches but doesn't cross

For quartic with positive leading coefficient $a > 0$ , what is the end behavior?

Both ends up

How do you find the y-intercept of a quartic function?

Set $x = 0$ and calculate $y$

Which is NOT a possible number of x-intercepts for a quartic function?

For $(x-1)^2(x+1)^2$ , where are the zeros?

$x = 1$ and $x = -1$

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Polynomials of Higher Degree (VCE SSCE Mathematical Methods): Quizzes

Practise the questions

What is the degree of a quartic function?

In f(x)=ax4+bx3+cx2+dx+ef(x) = ax^4 + bx^3 + cx^2 + dx + ef(x)=ax4+bx3+cx2+dx+e, why must a≠0a \neq 0a=0?

What is the maximum number of x-intercepts a quartic function can have?

Which statement about odd degree polynomials is true?

If P(a)=0P(a) = 0P(a)=0, what does the factor theorem tell us?

What happens at an x-intercept where a factor is raised to an even power?

For quartic with positive leading coefficient a>0a > 0a>0, what is the end behavior?

How do you find the y-intercept of a quartic function?

Which is NOT a possible number of x-intercepts for a quartic function?

For (x−1)2(x+1)2(x-1)^2(x+1)^2(x−1)2(x+1)2, where are the zeros?

Explore VCE SSCE Mathematical Methods Revision Notes by Topics

Solving Cubic Equations

Cubic Functions of a Particular Form

Graphs of Factorised Cubic Functions

Solving Cubic Inequalities

Families of Cubic Polynomial Functions

Applications of Polynomial Functions

The Bisection Method

Quadratic Functions

Determining the Rule for a Parabola

The Language of Polynomials

Division and Factorisation of Polynomials

The General Cubic Function

Polynomials of Higher Degree

Determining the Rule for the Graph of a Polynomial

Solution of Literal Equations and Systems of Equations

Determining the Rule for a Parabola

The Language of Polynomials

Division and Factorisation of Polynomials

The General Cubic Function

Polynomials of Higher Degree

Determining the Rule for the Graph of a Polynomial

Solution of Literal Equations and Systems of Equations

Explore VCE SSCE Mathematical Methods Model Answers by Topics

Solving Cubic Equations

Cubic Functions of a Particular Form

Graphs of Factorised Cubic Functions

Solving Cubic Inequalities

Families of Cubic Polynomial Functions

Applications of Polynomial Functions

The Bisection Method

Quadratic Functions

Determining the Rule for a Parabola

The Language of Polynomials

Division and Factorisation of Polynomials

The General Cubic Function

Polynomials of Higher Degree

Determining the Rule for the Graph of a Polynomial

Solution of Literal Equations and Systems of Equations

Determining the Rule for a Parabola

The Language of Polynomials

Division and Factorisation of Polynomials

The General Cubic Function

Polynomials of Higher Degree

Determining the Rule for the Graph of a Polynomial

Solution of Literal Equations and Systems of Equations

Explore VCE SSCE Mathematical Methods Flashcards by Topics

Solving Cubic Equations

Cubic Functions of a Particular Form

Graphs of Factorised Cubic Functions

Solving Cubic Inequalities

Families of Cubic Polynomial Functions

Applications of Polynomial Functions

The Bisection Method

Quadratic Functions

Determining the Rule for a Parabola

The Language of Polynomials

Division and Factorisation of Polynomials

The General Cubic Function

Polynomials of Higher Degree

Determining the Rule for the Graph of a Polynomial

Solution of Literal Equations and Systems of Equations

Determining the Rule for a Parabola

The Language of Polynomials

Division and Factorisation of Polynomials

The General Cubic Function

Polynomials of Higher Degree

Determining the Rule for the Graph of a Polynomial

In $f(x) = ax^4 + bx^3 + cx^2 + dx + e$ , why must $a \neq 0$ ?

If $P(a) = 0$ , what does the factor theorem tell us?

For quartic with positive leading coefficient $a > 0$ , what is the end behavior?

For $(x-1)^2(x+1)^2$ , where are the zeros?