question\nfactor.\n$x^{2}-13x + 30$\nanswer attempt 1 out of 2\nsubmit answer

Explanation:

Step1: Find two numbers

We need two numbers that multiply to 30 and add up to 13. The numbers are 10 and 3.

Step2: Rewrite the middle - term

Rewrite $-13x$ as $-10x-3x$. So, $x^{2}-13x + 30=x^{2}-10x-3x + 30$.

Step3: Group the terms

Group the terms: $(x^{2}-10x)-(3x - 30)$.

Step4: Factor out the common factors from each group

From the first group $x^{2}-10x$, we can factor out $x$ to get $x(x - 10)$. From the second group $3x-30$, we can factor out 3 to get $3(x - 10)$.

Step5: Factor out the common binomial factor

We have $x(x - 10)-3(x - 10)=(x - 10)(x - 3)$.

Answer:

$(x - 10)(x - 3)$