How would you find the zeros of the function by rewriting the function in intercept form? Ex: y=x^2 + 10 + 25

That means you factor it which finds the zeros of the function. That's what factoring a quadratic does ... finds the zeros of the function, the places on the graph where the function goes through the x-axis. This function needs 2 numbers that add up to equal 10 and multiply to equal 25. Both signs are the same and they're both positive so the factors are (x + 5) (x + 5). Setting those equal to zero according to the zero product property, x + 5 = 0 so x = - 5 with a multiplicity of 2. The intercept form is the one with the parenthesis still there. It could also be simplified as (x + 5) ^2