Mathematics
Quadratic expressions
Practice questions
If a, b and c are constants, under which condition is the expression \(ax^2+bx+c\) a quadratic expression in x?How will (x^2+2x+5) be written as a square plus a constant?After taking out (2) from (2x^2+8x+6), what remains inside the bracket?Which of the following expressions is a quadratic expression in the variable \(y\)?Which expression is not quadratic in (x)?Choose the factorised form of (x^2+8x+16-y^2).What is the expanded form of ((2x+1)(x-4))?What is the product of ((3x-2)(x+5))?What is the result of ((x-7)(x+7))?If the first and last terms of a trinomial are squares of two terms and the middle term is negative twice the product of their square roots, how is the trinomial factorised?What will be the constant term in ((4x-3)^2)?Riya says that \(x^2+10x+16\) can be written as \((x+5)^2\). Which is the correct form of \(x^2+10x+16\) to identify the error in Riya’s statement?Why is the expression \(5x^2-3x+7\) called a quadratic expression?If a quadratic trinomial is of the form \(x^2+2ax+a^2\), which algebraic expression is it equal to?A student wrote \((x+4)^2\) as \(x^2+16\). Which term is missing from the expansion?Which pair correctly splits the middle term in (3x^2-8x+4)?Which of the following is a quadratic expression in the variable \(p\)?Which of the following expressions can be factorised as \((m-n)(m+n)\)?The length of a rectangle is \(x+5\) cm and its breadth is \(x-2\) cm. Which quadratic expression is obtained on simplifying its area?Which expression is a quadratic binomial in (x)?