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If (p(x)=bx^4+3x^3-2x+1) and (b=0), what will be the degree of (p(x))?

Answer and explanation

Correct answer: 3

Substituting b=0 makes bx^4=0. Thus, p(x)=3x^3-2x+1. The greatest exponent of x with a non-zero coefficient is 3, so the degree is 3. Option 4 is incorrect because the coefficient of x^4 becomes zero. Exam tip: remove all terms with zero coefficients before finding the degree.

Related tags

PolynomialsDegree Of PolynomialZero CoefficientAlgebraClass 9 MathematicsDefinition Of A PolynomialIntroduction To PolynomialsMathematics

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