Mathematics
Quadratic expressions
Practice questions
Which of the following quadratic expressions can be factorised using the identity of difference of squares, \((a^2-b^2)=(a-b)(a+b)\)?If \(a>0\) and \(c>0\) in the quadratic expression \(ax^2+bx+c\), which condition is necessary for it to be written as the square of a linear binomial?What is a quadratic expression called if its factors are two identical binomials?Which of the following is a quadratic polynomial in \(x\)?What is the correct split of the middle term for (x^2-9x+20)?Which of the following quadratic polynomials has two equal zeroes?Which of the following quadratic trinomials is a perfect square, that is, it can be written as the product of two identical binomials?Which of the following quadratic trinomials is a perfect square of a binomial?A student wrote \((x+4)^2\) as \(x^2+16\). What is the correct expression after fixing the error?Which of the following expressions is not a quadratic polynomial in \(x\)?For which value of \(k\) will the expression \((k^2-9)x^2+(k-3)x+1\) be a linear expression in \(x\)?Which of the following expressions can be identified as the perfect square of a binomial?In (x^2+px+24), if one factor is (x+6), what is the value of (p)?Which of the following quadratic trinomials can be written as the expansion of a perfect-square binomial?For the quadratic expression \(x^2+px+q\), with real coefficients, to be a perfect square of a binomial, which relation between \(p\) and \(q\) is necessary and sufficient?Which of the following expressions represents the perfect square of a binomial?If (x^2-14x+c) is a perfect square, what will be the value of (c)?(9x^2-mx+16) is a perfect square. What will be the value of (m)?Which of the following quadratic expressions has factors that are two linear binomials differing only in sign?If a, b and c are constants, under which condition is \(ax^2+bx+c\) a quadratic expression in x?