Mathematics
Quadratic expressions
Practice questions
What is the perfect square form of (x^2-18x+81)?In which form can (16x^2+40x+25) be written?(x^2+mx+49) is a perfect square and (m) is positive. What will be the value of (m)?Which of the following quadratic expressions cannot be factorised into two linear expressions with integer coefficients?Write (x^2-12x+20) in completed square form.A student claims that \(x^2-10x+25\) factorises as \((x-5)(x+5)\). What is the error in the student's claim?Which of the following quadratic expressions has conjugate linear binomial factors?Which statement is always true about a quadratic polynomial \(ax^2+bx+c\), where \(a\ne0\)?What is the correct factorised form of (x^2-12x+32)?(25x^2+mx+36) is a perfect square and (m) is positive. What will be the value of (m)?Which of the following is a quadratic expression in x even though it has no constant term?In which form can (x^2-14x+49) be written?What is the correct expansion of \((2x-3)^2\)?What will be the coefficient of (x) in ((x+5)(x-2))?What will be the constant term of ((x-7)(x+3))?If (x=2), what is the value of (x^2+5x-6)?Which condition correctly identifies the quadratic expression \(x^2+bx+c\), with real coefficients, as a perfect-square trinomial?What will (k) be to make (x^2-18x+k) a perfect square?Which of the following expressions is a perfect-square quadratic trinomial?Which of the following trinomials can be written as the product of two identical binomials?