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27 results.

Indices: fractional powers (non-algebraic)
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Question in pre-algebra Numeracy and Arithmetic by Ben Brawn

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Indices: fractional powers (algebraic)
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Question in Algebra by Ben Brawn

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Solving a quadratic by using the quadratic formula - integer coefficients
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Question in Algebra by Ben Brawn

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Solving a quadratic by completing the square
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Question in Algebra by Ben Brawn

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De Moivre's Theorem: $n$ th roots of a complex number
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Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Find modulus and argument of the complex number $z_1$ and find the $n$ th roots of $z_1$ where $n=5,\;6$ or $7$ .
Roots of a cubic real polynomial
Has some problems
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

Using a given list of four complex numbers, find by inspection the one that is a root of a given cubic real polynomial and hence find the other roots.
Linear Equations
Draft
Question in DIAGNOSYS by Christian Lawson-Perfect and 3 others

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Factorising a Quadratic Function
Draft
Question in DIAGNOSYS by Christian Lawson-Perfect and 3 others

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Relationship of Roots and Factors
Draft
Question in DIAGNOSYS by Christian Lawson-Perfect and 3 others

No description given
Julie's copy of Second order differential equations 1
Draft
Question in Julie's workspace by Julie Crowley

Solve: $\displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+(a^2+b^2)y=0,\;y(0)=1$ and $y'(0)=c$ .

rebelmaths
Julie's copy of Second order differential equations 2
Draft
Question in Julie's workspace by Julie Crowley

Method of undermined coefficients:

Solve: $\displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+a^2y=0,\;y(0)=c$ and $y(1)=d$ . (Equal roots example). Includes an interactive plot.

rebelmaths
Solving equations
Draft
Question in Bill's workspace by Bill Foster

Solve for $x$ : $\displaystyle ax ^ 2 + bx + c=0$ .
Product rule
Draft
Question in Bill's workspace by Bill Foster

Differentiate $x ^m \sqrt{a x+b}$ .
The answer is in the form $\displaystyle \frac{x^{m-1}g(x)}{2\sqrt{ax+b}}$
for a polynomial $g(x)$ . Find $g(x)$ .
Complete the square. (Video)
Draft
Question in Bill's workspace by Bill Foster

Find $p$ and $q$ such that $ax^2+bx+c = a(x+p)^2+q$ .

Hence, or otherwise, find roots of $ax^2+bx+c=0$ .

Includes a video which shows how to solve a quadratic by completing the square.
Solve a second order ODE with repeated roots,
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

Solve: $\displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+a^2y=0,\;y(0)=c$ and $y(1)=d$ . (Equal roots example).
Second order ODE with constant coefficients and boundary conditions
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Solve: $\displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+(a^2+b^2)y=0,\;y(0)=1$ and $y'(0)=c$ .
Solve a quadratic with the formula
Has some problems
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 2 others

Solve for $x$ : $\displaystyle ax ^ 2 + bx + c=0$ .

Entering the correct roots in any order is marked as correct. However, entering one correct and the other incorrect gives feedback stating that both are incorrect.
Solving equations
Has some problems
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Solve for $x$ : $\displaystyle ax ^ 2 + bx + c=0$ .
Complete the square
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Complete the square for a quadratic polynomial $q(x)$ by writing it in the form $a(x+b)^2+c$ . Find both roots of the equation $q(x)=0$ .
Square and cube numbers
Ready to use
Question in Transition to university by Stanislav Duris

Find the squares, and cubes, of some numbers.

Finally, find a square number between two given limits.
The Factor Theorem
Ready to use
Question in Graphing and Polynomials by Ben Brawn

No description given
Indices - negative and fractional
Draft
Question in Arithmetic by Lois Rollings

Given value of x^(1/n), x^(-1/n) find x.
Indices: positive, negative, simple fraction
Draft
Question in Arithmetic by Lois Rollings

Given a number evaluate simple power, negative power, to one half.
Solving a quadratic equation
Draft
Question in Algebra by Lois Rollings

Solve for $x$ : $\displaystyle ax ^ 2 + bx + c=0$ .
Polynomial long division: degree of remainder and quotient
Ready to use
Question in Graphing and Polynomials by Ben Brawn

No description given
The Remainder Theorem
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Question in Graphing and Polynomials by Ben Brawn

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The Fundamental Theorem of Algebra
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Question in Graphing and Polynomials by Ben Brawn

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