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Chapter 6: Problem 23
Evaluate the algebraic expression for the given value or values of the variables. \(x^{2}-3(x-y) ; \quad x=2, y=8\)
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Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(6 x^{2}-17 x+12\)
Explain how to solve a quadratic equation by factoring. Use the equation \(x^{2}+6 x+8=0\) in your explanation.
Solve the equations using the quadratic formula. \(x^{2}-3 x=10\)
The formula$$N=\frac{t^{2}-t}{2}$$describes the number of football games, \(N\), that must be played in a league with \(t\) teams if each team is to play every other team once. Use this information to solve. If a league has 45 games scheduled, how many teams belong to the league, assuming that each team plays every other team once?
Determine whether each statement makes sense or does not make sense, and explain your reasoning. The fastest way for me to solve \(x^{2}-x-2=0\) is to use the quadratic formula.
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