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+4 b) 𝑥 2 − 6𝑥+ 8 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

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