How do you factor #x^5+2x^4+x^3#?

2 Answers

Answer:

You can take #x^3# out, as follows:#x^3(x^2+2x+1)#
This can be factored further: #x^2+2x+1# ==> #(x+1)^2#
so answer is: #x^3(x+1)^2#

Explanation:

You can take# x^3# out, as follows:#x^3(x^2+2x+1)#
This can be factored further: #x^2+2x+1# ==> #(x+1)^2#
so answer is: #x^3(x+1)^2#

May 27, 2018

Answer:

#x^3(x+1)^2#

Explanation:

#color(blue)(x^5+2x^4+x^3#

Factoring, means expressing the polynomial in terms of products of numbers or expressions. When we factor, we take the common terms inside the polynomials.

Take, #x^3# out of the polynomial

#rarrx^3(x^2+2x+1)#

We can further factor #(x^2+2x+1)#. It is in the form of #color(brown)((a+b)^2=a^2+2ab+b^2#.

So, #x^2+2x+1# can be written as #x^2+2(x)(1)+1^2# Which equals #color(brown)((x+1)^2#

So, the final factored expression is written as

#color(green)(rArrx^3(x+1)^2#

Hope that helps!!.... #phi#