Several quadratics are given and students are asked to factorise them.

Several quadratics are given and students are asked to factorise them.

Some quadratics are to be solved by factorising

Apply the factor theorem to check which of a list of linear polynomials are factors of another polynomial.

Differentiate the function $f(x)=(a + b x)^m  e ^ {n x}$ using the product and chain rule. Find $g(x)$ such that $f^{\prime}(x)= (a + b x)^{m-1}  e ^ {n x}g(x)$. Non-calculator. Advice is given.

Find the lowest common multiple and highest common factors of given numbers. Also a question on identifying prime numbers.

Differentiate the function $f(x)=(a + b x)^m  e ^ {n x}$ using the product and chain rule. Find $g(x)$ such that $f^{\prime}(x)= (a + b x)^{m-1}  e ^ {n x}g(x)$. Non-calculator. Advice is given.

Factoring a quadratic equation

This question tests the students ability to factorise simple quadratic equations (where the coefficient of the x^2 term is 1) and use the factorised equation to solve the equation when it is equal to 0.

Factorise three quadratic equations of the form $x^2+bx+c$.

The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.

Given a factor of a cubic polynomial, factorise it fully by first dividing by the given factor, then factorising the remaining quadratic.

Another transposition question, which requires (basic) factorisation.

rebelmaths

Several quadratics are given and students are asked to complete the square.

Solve a Differential equation with a repeated linear factor

Solve a Differential equation with a repeated linear factor & a delta function

Solve a Differential equation with 3 simple linear factors

Solve a Differential equation with a repeated linear factor

Solve a Differential equation with a  simple irreducible quadratic factor

No description given

No description given

No description given

No description given

No description given

Solve a Differential equation with a repeated linear factor

Solve a Differential equation with 3 simple linear factors

Solve a Differential equation with a repeated linear factor

Solve a Differential equation having 3 simple linear factors & a delta function.

Solve a Differential equation with an irreducible quadratic factor 

Another transposition question, which requires (basic) factorisation.

rebelmaths

Solve a Differential equation with a repeated linear factor & a delta function