Mathematics
Factorisation
Practice questions
If every term of a polynomial has a common factor, what is the most appropriate first step in factorisation?Which of the following quadratic trinomials cannot be factorised into two linear binomials with integer coefficients?A student claims that \(49a^2-70ab+25b^2=(7a-5b)^2\). Which statement about the claim is correct?Which of the following polynomials can be factorised using the identity for the difference of two squares?Which of the following expressions is a perfect-square trinomial that can be written as the square of a binomial?If the trinomial \(x^2+mx+n\) is factorised as \((x+p)(x+q)\), which relation between \(p\) and \(q\) is correct?What is the complete factorisation of (x^4+2x^2+1)?For which of the following expressions is the identity for the difference of two perfect squares most appropriate for factorisation?Which of the following trinomials can be factorised as the product of two identical binomial factors?Choose the factorisation of (3x^2y-12xy+12y).What will be the complete factorisation of (5x^2-45)?Which of the following expressions cannot be factorised into two non-constant polynomials with integer coefficients?What are the factors of (x^2-11x+30)?Which of the following trinomials can be factorised as the product of two identical binomials?Which of the following trinomials can be factorised into the product of two identical binomials?Which of the following quadratic trinomials cannot be factorised into two linear factors with integer coefficients?Which of the following quadratic trinomials factorises into two binomials whose constant terms have opposite signs?Which of the following quadratic trinomials can be factorised as a product of two linear binomials with integer coefficients?Suppose \(x^2+px+q\) can be factorised over integers as \((x+m)(x+n)\). If \(q<0\) and \(p>0\), which statement about \(m\) and \(n\) must be true?What is the correct factorised form of (6x^2+17x+12)?