Collection of questions on factorising quadratics with a=1.

Factorise a quadratic equation of the form $x^2+bx+c$ with one positive and one negative root.

Factorise a quadratic equation of the form $x^2+bx+c$ with one positive and one negative root.

Factorise a quadratic equation of the form $x^2+bx+c$ with two positive roots

Factorise a quadratic equations of the form $x^2+bx+c$ with 2 negative roots.

Two quadratic graphs are sketched with some area beneath them shaded. Question is to determine the area of shaded regions using integration. The first graph's area is all above the $x$-axis. The second graph has some area above and some below the $x$-axis.

A cmprehensive set of questions covering the different ways to solve quadratics by factorising

quadratics with some set up rearranging needed

Ensures that the quadratic factorises into a rational answer and an integer

solving a factorised quadratic

A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).

A few quadratic equations are given, to be solved by completing the square. The number of solutions is randomised.

A quadratic equation (equivalent to $(x+a)^2-b$) is given and sketched. Three equations are given that can be solved using the graph. There is a chance there will only be one solution.

Finding X-Y intercepts for quadratic and cubic equations.

No description given

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.

A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).

Solving factorised quadratics with leading coefficient NOT 1

Solving equations involving algebraic fractions which simplify into quadratics

Solving quadratics which need simplifying first.

quadratic solving using difference of two squares

Factorising and solving a quadratic with a=1

Solving a pair of simultaneous equations of the form $a_1x+b_1y=c_1$ and $a_2 x^2+b_2y^2=c_2$ by forming a quadratic equation.

Solving a pair of simultaneous equations of the form $a_1x+y=c_1$ and $a_2x^2+b_2xy=c_2$ by forming a quadratic equation.

Solving a pair of simultaneous equations of the form $a_1xy=c_1$ and $a_2x+b_2y=c_2$ by forming a quadratic equation.

Algebra:  Quadratic Factorisation.

              Coefficient of squared term is 1.

Given a linear or a quadratic function and asked whether it is continuous. Part of HELM Book 2.4.

Solving inequalities that involve a quadratic and where the right-hand side is 0.

Solving inequalities that involve a quadratic and where the right-hand side is not 0. 

The student is given a quadratic formula and asked to fill in a table of values of $f(x)$ for a given range of $x$.

The table uses the spreadsheet extension.

Factorising a quadratic expression of the form $a^2x^2-b^2$ to $(ax+b)(ax-b)$, using the difference of two squares formula.