Question

Use the zero product to find the solutions to the equation x2-13x+30=0

Answer 1

recall that the zero product states that, if a product is equal to 0, then at least one of its factors must be 0

put more simply, if a*b = 0 then either a, b, or both must be equal to 0

Answer 2

applying this logic to the problem, you can factor this trinomial x2-13x+30 into two factors, set both of those factors equal to zero, and solve each separate equation for x

do you know how to factor? as a hint, since you have x^2 (as opposed to 2x^2, 3x^2, etc.) find two integers that: 1) multiply to get 30 and 2) add to get -13