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Class 9MathematicsExploring Algebraic IdentitiesQuadratic expressionsHard
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In (x^2+px+24), if one factor is (x+6), what is the value of (p)?

Answer and explanation

Correct answer: (10)

The other factor is (x+4) because (6\cdot4=24), so (p=6+4=10). In exams, find the other factor from the constant term.

Related tags

Quadratic-ExpressionsUnknown-CoefficientFactorsQuadratic ExpressionsExploring Algebraic IdentitiesMathematicsClass 9 Mcq
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  3. 3Which expression can be factorised directly using the identity for the difference of two squares?
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  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?
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  10. 10Which of the following quadratic expressions can be factorised using the identity for the difference of two squares?
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