Mathematics
Quadratic expressions
Practice questions
Which of the following quadratic expressions can be written as the product of the sum and difference of two monomials?If a quadratic expression has coefficient 5 for x, coefficient -2 for x², and constant term 7, which is its standard form?Suppose \(a, b, c\) are constants. Which condition is necessary for \(ax^2+bx+c\) to be a quadratic expression in \(x\)?Which condition is essential for an expression in the standard form \(ax^2+bx+c\) to be quadratic?How is (3x^2-12) written by taking (3) outside?If a, b and c are constants, which condition is necessary for the expression \(ax^2+bx+c\) to be a quadratic expression in x?What is the common factor in (2x^2+5x)?What should be the value of (k) to make (x^2+6x+k) a perfect square?What is (k) to make (x^2-8x+k) a perfect square?Which of the following quadratic expressions can be factorised directly using the identity \(a^2-b^2=(a-b)(a+b)\)?A student writes \((3x+2)^2\) as \(9x^2+4\). Which is the correct quadratic expression after correcting the error?Riya expanded \( (x+4)^2 \) as \(x^2+16\). Which term is missing from her expansion?Which feature of the quadratic expression \(x^2+10x+25\) shows that it can be written as \((x+5)^2\)?Reena says that expanding \((x+4)(x-4)\) gives \(x^2+16\). Which expression correctly identifies and fixes her error?What is the perfect square form of (4x^2-12x+9)?What is (9x^2+24x+16) equal to?In which quadratic form can (x^2+2xy+y^2) be seen?Which of the following expressions is a perfect-square trinomial in \(x\)?What are the constant term and linear coefficient respectively in (x^2+0x+16)?Which expression is not quadratic?