What is the degree of #P(x) = x^3(x+2)(x-3)^2#?

1 Answer
Geoff K.
May 31, 2018

The degree of #P(x)# is 6.

Explanation:

The degree of a polynomial is the largest exponent of its variable (after all factors are distributed).

If we multiply the given factors out, we can guarantee we'll have an #x^3 xx x xx x^2# term, and the exponent of this term is #3+1+2=6#. All other terms will have #x# to a lower power, and so 6 is the degree of this polynomial.

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