Manipulating and factorising polynomials

Manipulating and factorising polynomials Quiz

Spec 1.10 · Edexcel International A Level Maths: Quiz

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5 questions, one answer each

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1. Expand and simplify $(x+3)(x-5)$ .
- A. $x^2+2x-15$
- B. $x^2-2x-15$
- C. $x^2-2x+15$
- D. $x^2-8x-15$
2. Factorise $x^2-16$ .
- A. $(x-4)(x-4)$
- B. $(x-8)(x+2)$
- C. $x(x-16)$
- D. $(x-4)(x+4)$
3. Fully factorise $2x^3-8x^2+6x$ .
- A. $2x(x-1)(x-3)$
- B. $2(x^3-4x^2+3x)$
- C. $2x(x+1)(x+3)$
- D. $2x(x-2)^2$
4. If $f(x)=x^2-3x+1$ , what is $f(-2)$ ?
- A. $-9$
- B. $3$
- C. $11$
- D. $-1$
5. What is the coefficient of $x^2$ in $(x-2)^3$ ?
- A. $6$
- B. $-6$
- C. $-2$
- D. $12$