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CF Maths Januaray test mock paper Partial Fractions 1
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Question in Deactivated user's workspace by Jinhua Mathias

Split $\displaystyle \frac{ax+b}{(cx + d)(px+q)}$ into partial fractions.
CF Maths In class test three mick paper question 7
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Question in Deactivated user's workspace by Jinhua Mathias

Split $\displaystyle \frac{ax+b}{(cx + d)(px+q)}$ into partial fractions.
CF Maths January test mock paper Partial Fractions 3 - double root
Ready to use
Question in Deactivated user's workspace by Jinhua Mathias

No description given
Voorbeeld Uitwiskeling
Needs to be tested
Question in Alexander's workspace by Alexander Holvoet and 1 other

Express $\displaystyle \frac{a}{x + b} \pm \frac{c}{x + d}$ as an algebraic single fraction over a common denominator.
DIfferentiation: product rule
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

Differentiate the function $f(x)=(a + b x)^m e ^ {n x}$ using the product rule. Find $g(x)$ such that $f^{\prime}(x)= (a + b x)^{m-1} e ^ {n x}g(x)$ .
Combining algebraic fractions 1
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Express $\displaystyle \frac{a}{x + b} \pm \frac{c}{x + d}$ as an algebraic single fraction over a common denominator.
Combining algebraic fractions
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Express $\displaystyle \frac{ax+b}{x + c} \pm \frac{dx+p}{x + q}$ as an algebraic single fraction over a common denominator.
Partial Fractions: Simple Linear Factors
Ready to use
Question in .Algebra by Michael Proudman

Split $\displaystyle \frac{ax+b}{(cx + d)(px+q)}$ into partial fractions.
Partial Fractions: Repeated Factor
Ready to use
Question in .Algebra by Michael Proudman

No description given
Integration by Partial Fractions 1 - double root
Has some problems
Question in joshua's workspace by joshua boddy

No description given
Chain rule - product of two functions
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

The derivative of $\displaystyle x ^ {m}(ax^2+b)^{n}$ is of the form $\displaystyle x^{m-1}(ax^2+b)^{n-1}g(x)$ . Find $g(x)$ .
Solving equations
Draft
Question in Bill's workspace by Bill Foster

Solve for $x$ : $\log_{a}(x+b)- \log_{a}(x+c)=d$
Solving equations
Draft
Question in Bill's workspace by Bill Foster

Solve for $x$ : $\displaystyle 2\log_{a}(x+b)- \log_{a}(x+c)=d$ .

Make sure that your choice is a solution by substituting back into the equation.
Solving equations
Draft
Question in Bill's workspace by Bill Foster

Solve for $x$ : $\displaystyle \frac{a} {bx+c} + d= s$
Quotient rule
Draft
Question in Bill's workspace by Bill Foster

Other method. Find $p,\;q$ such that $\displaystyle \frac{ax+b}{cx+d}= p+ \frac{q}{cx+d}$ . Find the derivative of $\displaystyle \frac{ax+b}{cx+d}$ .
Quotient rule. (Video)
Draft
Question in Bill's workspace by Bill Foster

The derivative of $\displaystyle \frac{ax^2+b}{cx^2+d}$ is $\displaystyle \frac{g(x)}{(cx^2+d)^2}$ . Find $g(x)$ .

Contains a video solving a similar quotient rule example. Although does not explicitly find $g(x)$ as asked in the question, but this is obvious.
Dividing Polynomials
Draft
Question in Bill's workspace by Bill Foster

Dividing a cubic polynomial by a linear polynomial. Find quotient and remainder.
Partial Fractions
Draft
Question in Bill's workspace by Bill Foster

Split $\displaystyle \frac{ax+b}{(cx + d)(px+q)}$ into partial fractions.
Logarithms: Solving equations 2
Draft
Question in Bill's workspace by Bill Foster

Solve for $x$ : $\displaystyle 2\log_{a}(x+b)- \log_{a}(x+c)=d$ .

Make sure that your choice is a solution by substituting back into the equation.
Logarithms: Solving equations 1
Draft
Question in Bill's workspace by Bill Foster

Solve for $x$ : $\log_{a}(x+b)- \log_{a}(x+c)=d$
Dividing polynomials 2
Draft
Question in Bill's workspace by Bill Foster

Algebraic manipulation/simplification.

Simplify $\displaystyle \frac{ax^4+bx^2+c}{a_1x^4+b_1x^2+c_1}$ by cancelling a a common degree 2 factor.
Simplify Expression
Draft
Question in Bill's workspace by Bill Foster

Express a sum of linear terms in $x$ and $y$ as a single linear term in $x$ and $y$ .
Expansion of two brackets: Quadratic and Linear
Draft
Question in Bill's workspace by Bill Foster

Expand $(az^2+bz+c)(pz+q)$ .
Expansion of two brackets: Quadratic and Quadratic
Draft
Question in Bill's workspace by Bill Foster

Expand $(az^2+bz+c)(dz^2+pz+q)$ .
Expansion of two brackets: Linear and Quadratic
Draft
Question in Bill's workspace by Bill Foster

Expand $(pw+q)(aw^2+bw+c)$ .
Expansion of two brackets: Linear 2
Draft
Question in Bill's workspace by Bill Foster

Expand $(ax+b)(cx+d)$ .
Expansion of two brackets: Linear 1
Draft
Question in Bill's workspace by Bill Foster

Expand $ax(cx+d)$ and expand $(rx+s)(px)$
Expansion of three brackets: (Video)
Draft
Question in Bill's workspace by Bill Foster

Expand $(ay+b)(cy+d)(py+q)$ .

Includes a video expanding three brackets, however uses the variable $x$ rather than $y$ .
Simplify Algebraic Expressions
Draft
Question in Bill's workspace by Bill Foster

Simplify $(ax+b)(cx+d)-(ax+d)(cx+b)$ . Answer is a multiple of $x$ .
Simplify Algebraic Expressions: 2 unknowns
Draft
Question in Bill's workspace by Bill Foster

Simplify $(ax+by)(cx+dy)-(ax+dy)(cx+by)$ . Answer is a multiple of $xy$ .

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