write an equation of the quadratic that has x-intercepts (zeros) of -2 and 5 and passes through the point (1,96)

I’m stuck on this equation, anyone got the answer?

A+b= 17, ab=70, find the value of |a-b|

Alayna wonders how much water it would take to fill her cup she drops her pencil in her cup and notices that it just fits diagonal the pencil is 17 cm long and the cup is 15 cm tall how much water can the cup hold