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When the polynomial \(p(x)=3x^2+4x+5\) is written in the form \(ax^2+bx+c\), how many coefficients does it have?

Answer and explanation

Correct answer: 3

The form \(ax^2+bx+c\) contains three coefficients: \(a\), \(b\), and \(c\). In the given polynomial, their values are \(3\), \(4\), and \(5\), respectively, so there are three coefficients. The symbol \(x\) is the variable, not a coefficient. Exam tip: identify the numerical factor multiplying each power of the variable.

Related tags

CoefficientsQuadratic PolynomialPolynomials In One VariableAlgebra BasicsPolynomials In One VariablePolynomialsMathematicsClass 10 Mcq

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