Mathematics
Quadratic expressions
Practice questions
The factorised form of (2x^2+mx+10) is ((2x+5)(x+2)). What is (m)?Which (k) makes (x^2+kx+81) a perfect square and (k) is negative?For a quadratic expression \(ax^2+bx+c\) to have two distinct real zeroes, which statement about its discriminant is correct?Write (x^2+6x+11) in completed square form.Which statement correctly describes the expression \(x^2-25\)?Which of the following is a quadratic expression in \(x\) and \(y\)?If (a-b=5) and (ab=6), what is (a^2+b^2)?Which of the following quadratic expressions has factors that are two binomials with the same coefficient of x and opposite constant terms?Which of the following expressions is a quadratic expression in the variable x?If an expression can be written in the standard form \(ax^2+bx+c\), which condition is necessary for it to be called a quadratic expression?What are the factors of (5x^2+13x+6)?Which of the following expressions can be factorised as the product of two conjugate binomials?Which of the following is a necessary and sufficient condition for the expression \(x^2+bx+c\), with real coefficients, to be a perfect square of a binomial?Write (7-4x+2x^2) in standard quadratic form.Which of the following quadratic expressions represents the perfect square of a binomial?If (x^2+sx+35=(x+5)(x+7)), what is (s)?Which statement is correct for (x^2-16x+64)?What is the coefficient of (x^2) in (3x^2-5x+7)?When (5x-2x^2+9) is written in standard form, which form is obtained?If \(a,b,c\) are constants, which condition is necessary for \(ax^2+bx+c\) to be a quadratic expression?