1. Literacy Research Memory Skill Challenge
Quadratic Functions – Expanding brackets and Factorising
Literacy
Research
Memory
A quadratic expression is written in the form: 𝑎 𝑥 2 +𝑏𝑥+𝑐 where 𝑥 is the variable, a and b are the coefficients of the terms involving 𝑥 2 & 𝑥 and c is a constant value.
a ≠0 but b and c can have zero values and the expression will still be a quadratic type as the variable still has a highest power of 2 e.g. 3 𝑥 2 −4𝑥+1 & 𝑦 2 −9 are examples of quadratic expressions.
Explain what are the differences between
a function,
an equation,
an identity.
Find one real life application of using quadratic functions to help model them. Write a brief summary of this application.
Skill
Challenge
1. Expand the following expressions and simplify fully when possible
a (𝑥+4)(𝑥+5) b) (𝑦−3)(𝑦+7) c) (3−𝑡)(2+𝑡)
2. Factorise the following quadratic expressions and show checking by
expanding the answers you find!
a) 𝑥 2 +5𝑥 b) 𝑥 2 − 6𝑥 c) 𝑥 2 −3𝑥−10
3. Write an expression for the area
of this compound shape in its
simplest terms
4. Jenny thinks that (x – 2)2 = x2 – 4. Do you agree with Jenny? Explain your answer.
5. How would you explain to someone that factorizing the quadratic expression
𝑦 2 +6𝑦 will only require a single bracket as part of the answer and not the two
brackets quite often associated with quadratic expressions?
Factorise 3 𝑥 2 +14𝑥+8
Factorise 𝑦 2 −25
Expand and simplify as far as possible
the following expression (3𝑥−5) 2

2. Literacy Research Memory Skill Challenge
Title:-
Set on
Due on
Literacy
Research
Memory
Skill
Challenge