Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

6.1 greatest common fac (1 point) factor out the greatest common factor…

Question

6.1 greatest common fac
(1 point)
factor out the greatest common factor:
$x^{2}+x=\square$
preview my answers submit answers
you have attempted this problem 0 times.
you have unlimited attempts remaining.

Explanation:

Step1: Find the GCF of terms

The terms are \(x^{2}\) and \(x\). The GCF of \(x^{2}\) and \(x\) is \(x\).

Step2: Factor out the GCF

Factor out \(x\) from \(x^{2}+x\). Using the distributive property \(ab + ac=a(b + c)\), where \(a = x\), \(b=x\), and \(c = 1\). So \(x^{2}+x=x(x + 1)\)

Answer:

\(x(x + 1)\)