SOLUTION: Given p(x)=x^3+x^2+x+1. Write P(x) in factored form. Be sure to write the full equation including P(x)?

Question 1136758: Given p(x)=x^3+x^2+x+1. Write P(x) in factored form. Be sure to write the full equation including P(x)?

Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
-1/1---1---1---1 synthetic division
1 0 1 0
(x+1)(x^2+1)=P(x)
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.

Apply grouping as the factoring method: x^3 + x^2 + x + 1 = (x^3 + x^2) + (x + 1) = x^2*(x+1) + (x+1) = (x+1)*(x^2+1).

Solved.

That's all.

-----------------

Regarding your writing, please learn, where and when to use the terms "equation" and "expression".

These terms are different, and correct using the terms is the first thing on how the specialists recognize a newcomer.

RELATED QUESTIONS
Complex Zeros and the Fundamental Theorem of Algebra Please help me and show all work. (answered by FrankM)
Find all rational zeros of the polynomial. (Enter your answers as a comma-separated list. (answered by ikleyn)
Write the equation p(x)=2x^4+9x^3+17x^2+19x-15 in factored form... (answered by stanbon)
1.)Write the quadratic equation in factored form. Be sure to write the entire equation. (answered by richwmiller)
1. Find all the zeros and write P(x) in factored form:... (answered by josgarithmetic)
given the polynomial P(x)=x^4-2x^3-7x^2+18x-18 a. without long division, find the... (answered by math_helper)
All the real zeros of the given polynomial are integers. Find the zeros. (Enter your... (answered by ikleyn)
All the real zeros of the given polynomial are integers. Find the zeros. (Enter your... (answered by ikleyn)
If P(x)=3x^3+2x^2+x+20 and we write P(x) in the form P(x)=A+B(x-1)+C(x-1)... (answered by Edwin McCravy)