Previewing

Cubics and Polynomials - Revision Quiz 1

Question 1 of 11

For the cubic function \(y = x(x - 1)(x + 2)\) the function crosses the \(x\)-axis at?

Answer

You must be logged in to see the answer.

Worked Solution

You must be logged in to see the worked solutions.
Previewing

Cubics and Polynomials - Revision Quiz 1

Question 2 of 11

What is the equation of the following cubic, given that it passes through the point \((-1,2)\)?

Answer

You must be logged in to see the answer.

Worked Solution

You must be logged in to see the worked solutions.

You must have an active subscription to access course content
Previewing

Cubics and Polynomials - Revision Quiz 1

Question 3 of 11

What is the equation of the cubic, given that is passes through the point \((-1,7)\)?

A

\(y = 3.5{x^2}(x - 1)\)

B

\(y = - 3.5{x^2}(x - 1)\)

C

\(y = 3.5{x^2}(x + 1)\)

D

\(y = - 3.5{x^2}(x + 1)\)

Answer

You must be logged in to see the answer.

Worked Solution

You must be logged in to see the worked solutions.

You must have an active subscription to access course content
Previewing

Cubics and Polynomials - Revision Quiz 1

Question 4 of 11

The equation of the cubic function that cuts the \(x\)-axis at \(x = - 1\), \(x = 2\) and \(x = 3\) and passes through the points \((1,8)\) is:

Answer

You must be logged in to see the answer.

Worked Solution

You must be logged in to see the worked solutions.

You must have an active subscription to access course content
Previewing

Cubics and Polynomials - Revision Quiz 1

Question 5 of 11

What is the equation of the degree 4 polynomial, given that it passes through \((2,12)\)?

A

\(y = {x^2}({x^2} - 1)\)

B

\(y = {x^2}({x^2} + 1)\)

C

\(y = {x^2}(1 - {x^2})\)

D

\(y = x(1 - {x^3})\)

Answer

You must be logged in to see the answer.

Worked Solution

You must be logged in to see the worked solutions.

You must have an active subscription to access course content
Previewing

Cubics and Polynomials - Revision Quiz 1

Question 6 of 11

Sketch the graph of \(y = \left( {x + 1} \right)\left( {x - 1} \right)\left( {x - 2} \right)\) clearly indicating all intercepts on the \(x\) axis.

Answer

You must be logged in to see the answer.

Worked Solution

You must be logged in to see the worked solutions.

You must have an active subscription to access course content
Previewing

Cubics and Polynomials - Revision Quiz 1

Question 7 of 11

Based on the curve of this polynomial, choose the correct option for the number of its roots.

A

It has single roots at \(x = - 5\) and \(x = 3\), and a double root at \(x = - 1\).

B

It has single roots at \(x = - 5, x = - 1\) and \(x = 3\).

C

It has a single root at \(x = 3\) and double roots at \(x = - 5\) and \(x = - 1\).

D

It has single roots at \(x = - 5\) and \(x = - 1\), and a double root at \(x = 3\).

Answer

You must be logged in to see the answer.

Worked Solution

You must be logged in to see the worked solutions.

You must have an active subscription to access course content
Previewing

Cubics and Polynomials - Revision Quiz 1

Question 8 of 11

Based on the curve of this polynomial, choose the correct option for the number of its roots.

A

It has single roots at \(x = - 1\) and \(x = 2\), and double roots at \(x = - 3\) and \(x = 4\).

B

It has single roots at \(x = - 3\) and \(x = 4\), and double roots at \(x = - 1\) and \(x = 2\).

C

It has single roots at \(x = - 3\) and \(x = 2\), and double roots at \(x = - 1\) and \(x = 4\).

D

It has single roots at \(x = - 1\) and \(x = 4\), and double roots at \(x = - 3\) and \(x = 2\).

Answer

You must be logged in to see the answer.

Worked Solution

You must be logged in to see the worked solutions.

You must have an active subscription to access course content
Previewing

Cubics and Polynomials - Revision Quiz 1

Question 9 of 11

The equation of the cubic function that cuts the \(x\)-axis at \(x=-3,x=1\) and \(x=4\) and passes through the point \((5,64)\) is?

Answer

You must be logged in to see the answer.

Worked Solution

You must be logged in to see the worked solutions.

You must have an active subscription to access course content
Previewing

Cubics and Polynomials - Revision Quiz 1

Question 10 of 11

The adjacent graph represents a polynomial of degree 4. Its equation is?

A

\(y = 2{x^2}({x^2} - 1)\)

B

\(y = 2x({x^3} - 1)\)

C

\(y = 2{x^2}(1 - {x^2})\)

D

\(y = 2x(1 - {x^3})\)

Answer

You must be logged in to see the answer.

Worked Solution

You must be logged in to see the worked solutions.

You must have an active subscription to access course content
Previewing

Cubics and Polynomials - Revision Quiz 1

Question 11 of 11

Determine the cubic function that passes through the points \((-2,0),(1,0),(2,4)\) and \((3,0)\)

Answer

You must be logged in to see the answer.

Worked Solution

You must be logged in to see the worked solutions.

You must have an active subscription to access course content

Homepage

Course Index

Build a Quiz

Subscriptions

Courses

NSW Y11 Maths Standard NSW Y11 Maths Advanced NSW Y11 Maths Extension 1

Topics

Algebra Methods Surds Functions and Graphs Transformations and Symmetry Trigonometry Calculus Logs and Exponentials Probability and Statistics Discrete Probability Distributions

Cubics and Polynomials - Questions

Q 1 More Questions

Question 1

For the cubic function \(y = x(x - 1)(x + 2)\) the function crosses the \(x\)-axis at?

Answer Click to reveal

Worked Solution Click to reveal

Create account

I am..

A teacher
A student
A tutor

Please enter your details

First Name.

Last Name

Email Address

State

I agree with your terms of service

You must be logged in to see more questions. or

Previewing

Cubics and Polynomials - Revision Quiz 1

Previewing

Cubics and Polynomials - Revision Quiz 1

Previewing

Cubics and Polynomials - Revision Quiz 1

Previewing

Cubics and Polynomials - Revision Quiz 1

Previewing

Cubics and Polynomials - Revision Quiz 1

Previewing

Cubics and Polynomials - Revision Quiz 1

Previewing

Cubics and Polynomials - Revision Quiz 1

Previewing

Cubics and Polynomials - Revision Quiz 1

Previewing

Cubics and Polynomials - Revision Quiz 1

Previewing

Cubics and Polynomials - Revision Quiz 1

Previewing

Cubics and Polynomials - Revision Quiz 1

Homepage

Course Index

Build a Quiz

Subscriptions

Courses

Topics

Cubics and Polynomials - Questions

Create account

I am..

Please enter your details