Mathematics
Quadratic expressions
Practice questions
Which of the following quadratic expressions can be written as a product of two linear factors using the identity \(a^2-b^2=(a-b)(a+b)\)?If \(a, b, c\) are constants, which condition is necessary for \(ax^2+bx+c\) to be a quadratic expression in \(x\)?A student wrote \((x+5)^2\) as \(x^2+25\). Which term has been omitted from the expansion?In the expression \(ax^2+bx+c\), where \(a,b,c\) are real numbers, which condition is necessary for it to be a quadratic expression in \(x\)?If \(a, b, c\) are real numbers, which condition is necessary for \(ax^2+bx+c\) to be a quadratic polynomial in \(x\)?If the coefficients of a quadratic expression are 1, 6 and 9 respectively, what type of expression is it?The length of a rectangular garden is \(x+4\) m and its breadth is \(x-2\) m. Which quadratic expression represents its area?Which of the following expressions can be written as a perfect-square trinomial?In the general form \(ax^2+bx+c\) of a quadratic expression, which condition on \(a\) is necessary for it to remain quadratic?Which condition is necessary for \(ax^2+bx+c\) to be called a quadratic expression in \(x\)?Which of the following quadratic expressions can be written as a product of two linear factors using the identity for the difference of squares?Which of the following quadratic expressions can be written as the difference of the squares of two monomials?Which is the factorisation of (25x^2-1)?Which of the following quadratic expressions can be factorised using the identity for the difference of squares?Which of the following quadratic expressions can be identified in the identity form \(a^2-b^2\), the difference of two squares?Which condition is necessary for \(ax^2+bx+c\) to be a quadratic expression in \(x\)?A rectangle has length \(x+5\) m and width \(x-2\) m. Which quadratic expression represents its area?Which of the following polynomials is a quadratic expression?Riya expanded \((2x+1)^2\) as \(4x^2+1\). Which term is missing from her expansion?In (x^2+bx+c), with which term is (b) associated?