Mathematics
Quadratic expressions
Practice questions
Which of the following quadratic expressions represents the square of a binomial?Which of the following factorizations correctly applies the identity for the difference of squares?If the quadratic expression \(x^2+px+q\) can be written as the product of two identical linear factors, which relation between \(p\) and \(q\) is necessary?Which of the following quadratic expressions can be written as the product of two identical linear factors?Which quadratic expression is not a perfect square?Which of the following quadratic expressions can be factorised as the product of two identical binomials?When (x^2+6x+5) is compared with ((x+3)^2), what is the difference?Which term must be added to complete the square for (x^2+6x+5)?How much must be added to (x^2-8x+10) to complete the square?If \(a,b,c\) are real numbers, when is \(ax^2+bx+c\) called a quadratic expression?Which pair of forms is correct for (x^2-16) and (x^2-8x+16)?If a is any real number, which of the following expressions will always remain a quadratic expression in x?If (x^2+mx+16) is a perfect square and (m) is negative, what is (m)?If \(a,b,c\) are real numbers and \(a\ne0\), which condition is necessary and sufficient for \(ax^2+bx+c\) to be the square of a linear expression?If the quadratic expression \(ax^2+bx+c\), where \(a\ne 0\), is the square of a linear binomial, which of the following statements is always true?Which statement correctly gives the factors of the expression \(p^2-q^2\)?If the quadratic expression \(x^2+px+16\) is a perfect square of a binomial, which statement about the possible values of \(p\) is correct?If \(a,b,c\) are constants, which condition is necessary for \(p(x)=ax^2+bx+c\) to be called a quadratic expression?Which of the following expressions represents a quadratic polynomial in x?Which of the following quadratic expressions remains positive for every real value of x?