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Class 9MathematicsExploring Algebraic IdentitiesQuadratic expressionsMedium
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A student expanded \((x+5)(x-2)\) as \(x^2+3x-10\). What is the correct evaluation of the student's answer?

Answer and explanation

Correct answer: उत्तर सही है, क्योंकि मध्य पद \(5x-2x=3x\) है।

Using distribution, \((x+5)(x-2)=x^2-2x+5x-10=x^2+3x-10\). Thus the student is correct. Exam tip: add the two cross-products carefully and check their signs before combining like terms.

Related tags

Quadratic ExpressionsAlgebraic IdentitiesPolynomial MultiplicationDistributive PropertyError AnalysisClass 9 MathematicsExploring Algebraic IdentitiesMathematics
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10 more MCQs
  1. 1Which expression can be factorised using the difference-of-cubes identity?
  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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