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Class 10MathematicsPolynomialsPolynomials in one variableHard
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If (p(x)=x^3+ax^2+bx-12), (p(2)=0), and (p(3)=0), what is the value of (a+b)?

Answer and explanation

Correct answer: (9)

The conditions give (2a+b=2) and (3a+b=-5), so (a=-7), (b=16), and (a+b=9). When two values are given, form two equations.

Related tags

ParameterZerosCubic PolynomialPolynomials In One VariablePolynomialsMathematicsClass 10 Mcq
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10 more MCQs
  1. 1If (p(x)=x²−8x+10), what are its zeroes?
  2. 2If p(x) = 2x² − 4√2x + 4, what is the sum of its zeroes?
  3. 3If the sum of zeroes is 2√5 and the product is 4, which is a monic quadratic polynomial?
  4. 4If √2 and √8 are zeroes of a quadratic polynomial, what is the sum of the zeroes?
  5. 5If p(x) = x² − 2√2x + 2, which is the correct factorized form of p(x)?
  6. 6Which polynomial has rational coefficients and zeroes 1 + √2 and 1 − √2?
  7. 7Which option is the simplified form of (x^8 - 81) / (x^4 - 9), where x^4 ≠ 9?
  8. 8Which expression is a polynomial in one variable (x)?
  9. 9What is the degree of the polynomial p(x) = 4x^3 − 2x + 9?
  10. 10What is the constant term of the polynomial \(7x^2+5x-11\)?
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