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If the degree of ((r+6)x^8+(r+6)x^4+20) is (0), what is the value of (r)?

Answer and explanation

Correct answer: r=-6

A polynomial has degree 0 when it is a non-zero constant. Since 20 is already a non-zero constant term, the coefficients of both terms containing x must be zero. Thus, r+6=0, giving r=-6. If r=0, the coefficient of x^8 remains 6, so the degree would be 8. Exam tip: for degree 0, every variable term must vanish.

Related tags

PolynomialsDegree Of PolynomialConstant PolynomialParameterAlgebraClass 9 MathematicsDegree Of A PolynomialIntroduction To Polynomials

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