question\nfactor.\n$x^{2}-11x + 30$
question\nfactor.\n$x^{2}-11x + 30$
Answer
Explanation:
Step1: Find two numbers
We need two numbers that multiply to 30 and add up to 11. The numbers are 5 and 6.
Step2: Rewrite the middle term
$x^{2}-11x + 30=x^{2}-5x-6x + 30$.
Step3: Group the terms
$(x^{2}-5x)-(6x - 30)$.
Step4: Factor out common factors
$x(x - 5)-6(x - 5)$.
Step5: Factor out the common binomial
$(x - 5)(x - 6)$.
Answer:
$(x - 5)(x - 6)$