Recently published items

Factorise a 2-term expression by pulling out a numeric gcd. Part of HELM Book 1.3

Factorise a 2-term expression where the gcd can be alphanumeric. Part of HELM Book 1.3

Explain why one variable is a factor but the other is not. Factorise the expression, whose factor is alphanumeric. Part of HELM Book 1.3

Factorise a quadratic, ax^2+bx+c. An exam can choose whether or not a=1. Part of HELM Book 1.3

Part of HELM Book 1.3

Expand a binomial. Part of HELM Book 1.3

Remove the brackets from algebraic expressions. Part of HELM Book 1.3

Simplify x^3+ax^2+bx^2+cx+dx+e to x^3 + (a+b)x^2 + (c+d)x + e

There are 6 versions of this question.

Part of HELM Book 1.3

Collect like terms to simplify an algebraic expression. Part of HELM Book 1.3

Expand (x+a)(x+b)(x+c), where x is a randomised variable, and a,b,c are randomised integers.

Note that the pattern restriction in the marking checks that there are no brackets and that the expression is simplified to at most a single x^3, x^2, x and constant term; but it will let you get away with an additional -x^2 and/or -x term. (e.g., you could write 3x as 4x -x and the marking would accept this. This was to stop the pattern matching getting too complicated.

Part of HELM Book 1.3