factor.\nh^{2}+18h + 17
factor.\nh^{2}+18h + 17
Answer
Answer:
$(h + 1)(h + 17)$
Explanation:
Step1: Find two numbers
Find two numbers that multiply to (17) (the constant term) and add up to (18) (the coefficient of the middle term). The numbers are (1) and (17) since (1\times17 = 17) and (1 + 17=18).
Step2: Factor the quadratic
Using the formula (x^{2}+(a + b)x+ab=(x + a)(x + b)), for (x = h), (a = 1), (b = 17), we get (h^{2}+18h + 17=(h + 1)(h + 17)).