Algebra and Graphs Structured Questions | Cambridge O Level Mathematics (Syllabus D)

Question 1 of 6 · 8 marks

Algebra and Graphs · 1 - Algebraic Foundations & Manipulation

3 parts

Mathematics (Syllabus D) 4024 · Question 1Paper 2 · Calculator[8 marks]

(a)

Factorise completely $3x^2 - 12$ .

[2]

(b)

Rearrange the formula $P = \sqrt{\dfrac{2m + k}{m - k}}$ to make $m$ the subject.

[3]

(c)

Given that $x^2 + bx + c = (x + d)^2 + 3$ , where $b$ , $c$ , and $d$ are constants, find an expression for $c$ in terms of $b$ .

[3]