Mathematics
Quadratic expressions
Practice questions
Which expression is a quadratic expression?Based on the powers of the variable \(x\) in the polynomial \(5x^2-3x+7\), what is the degree of this expression?If a, b and c are constants, which condition is necessary for \(ax^2+bx+c\) to be a quadratic expression in x?If a quadratic expression has the general form \(ax^2+bx+c\), which condition on \(a\) is necessary for it to be quadratic?Which of the following expressions represents the square of the difference of two terms?Which of the following quadratic expressions can be factorised using the identity for the difference of two squares?The length of a rectangular garden is \(x+5\) metres and its breadth is \(x+3\) metres. Which quadratic expression represents its area?Under which condition can the quadratic trinomial \(x^2+px+q\) be classified as a perfect-square trinomial?Which is the expansion of ((x+3)(x+2))?Which of the following expressions can be written as a difference of squares of two binomials?Where a, b, and c are constants, which condition is necessary for \(ax^2+bx+c\) to be a quadratic expression in one variable?Under which condition is \(ax^2+bx+c\), where \(a,b,c\) are real numbers, called a quadratic expression in \(x\)?If a quadratic expression is of the form \(ax^2+bx+c\), which condition on \(a\) is necessary for it to be quadratic?A student expanded \((x+5)(x-2)\) as \(x^2+3x-10\). What is the correct evaluation of the student's answer?Which of the following quadratic expressions can be factorised as a difference of two squares?Which of the following quadratic expressions can be written as the product of two conjugate binomials?If \(x-5\) is a factor of a polynomial, which statement about \(x=5\) is correct?Which of the following quadratic expressions can be factorised using the identity \,\((a^2-b^2)=(a-b)(a+b)\)?If the constant term of a quadratic expression is 0, which statement about the expression is correct?Which condition is necessary for the expression \(ax^2+bx+c\) to be a quadratic expression in \(x\)?