Problem 23
Factor by using trial factors. $$3 p^{2}-16 p+5$$
Problem 27
For Exercises 5 to \(62,\) solve. $$z^{2}+5 z-14=0$$
Problem 29
Factor by using trial factors. $$6 t^{2}-11 t+4$$
Problem 29
For Exercises 5 to \(62,\) solve. $$2 a^{2}-9 a-5=0$$
Problem 51
Factor. $$4 a^{2}-12 a b+9 b^{2}$$
Problem 53
Factor. $$p^{2}-2 p-3 r p+6 r$$
Problem 72
Integer Problem The sum of the squares of two consecutive positive even integers is one hundred. Find the two integers.
Problem 73
Integer Problem The product of two consecutive positive integers is two hundred forty. Find the two integers.
Problem 83
Geometry The page of a book measures 6 in. by 9 in. A uniform border around the page leaves 28 in \(^{2}\) for type. What are the dimensions of the type area?
Problem 83
For Exercises 78 to \(131,\) factor completely. $$a b^{2}+7 a b-8 a$$