Question

19 factor by gcf
$1000x^{3}-100x^{2}+10x$
$10x(100x^{2}-10x+1)$
$10x$
$10x(100x^{2}+10x+1)$
$10x^{2}(100x^{2}-10x+1)$

Explanation:

Step1: Identify GCF of terms

The coefficients are 1000, -100, 10. Their GCF is 10. For the variable $x$, the lowest power is $x^1$. So overall GCF is $10x$.

Step2: Divide each term by GCF

$\frac{1000x^3}{10x} = 100x^2$, $\frac{-100x^2}{10x} = -10x$, $\frac{10x}{10x} = 1$

Step3: Write factored form

Factor out $10x$ and place the quotient terms in parentheses.

Answer:

10x(100x²-10x+1)