How do you write a polynomial in standard form, then classify it by degree and number of terms #a^3(a^2 + a + 1)#?

1 Answer
Oct 19, 2017

See explanation.

Explanation:

To write this polynomial in standard form you have to multiply all terms in brackets by #a^3#.

#a^3*(a^2+a+1)=a^5+a^4+a^3#

Now the polynomial in standard form is:

#P(a)=a^5+a^4+a^3#

This polynomial is a sum of #3# expressions, so it is a trinomial, the highest exponent is #5#, so we can say that the polynomial is
a trinomial of fifth degree.