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Class 9MathematicsExploring Algebraic IdentitiesQuadratic expressionsMedium
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If the constant term of a quadratic expression is 0, which statement about the expression is correct?

Answer and explanation

Correct answer: x is a factor of the expression.

For a quadratic expression ax² + bx + c, if c = 0, then ax² + bx = x(ax + b); hence x is a factor. The leading coefficient a cannot be zero for it to remain quadratic. Exam tip: inspect the constant term first to spot a common factor.

Related tags

Quadratic ExpressionsAlgebraic IdentitiesFactorisationPolynomialsGrade 9 MathematicsExploring Algebraic IdentitiesMathematicsClass 9 Mcq
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  2. 2What will be the factorised form of (r^2-2rs+s^2)?
  3. 3Which expression can be factorised directly using the identity for the difference of two squares?
  4. 4Which expression can be factorised directly using the difference-of-squares identity \(a^2-b^2=(a-b)(a+b)\)?
  5. 5Which expression is a quadratic expression?
  6. 6Based on the powers of the variable \(x\) in the polynomial \(5x^2-3x+7\), what is the degree of this expression?
  7. 7If a, b and c are constants, which condition is necessary for \(ax^2+bx+c\) to be a quadratic expression in x?
  8. 8If a quadratic expression has the general form \(ax^2+bx+c\), which condition on \(a\) is necessary for it to be quadratic?
  9. 9Which of the following expressions represents the square of the difference of two terms?
  10. 10Which of the following quadratic expressions can be factorised using the identity for the difference of two squares?
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