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Magazine Problem 16
Before getting to multiple-step factorizations, let's be sure that you are comfortable with exercises requiring only one of the factoring techniques. In Exercises \(1-16,\) factor each polynomial. $$4 x^{2}-x-5$$
Problem 16
Factor each polynomial using the greatest common factor. If there is no common factor other than 1 and the polynomial cannot be factored, so state. $$5 y-5$$
Problem 16
Factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$y^{2}+5 y-24$$
Problem 16
Use factoring to solve quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\)-intercepts. \(x^{2}-11 x=-10\)
Problem 16
Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$5 y^{2}-8 y+3$$
Problem 17
In Exercises \(1-26,\) factor each difference of two squares. $$x^{10}-9$$
Problem 17
Factor each polynomial using the greatest common factor. If there is no common factor other than 1 and the polynomial cannot be factored, so state. $$5 x+30$$
Problem 17
Use factoring to solve quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\)-intercepts. \(x^{2}+4 x=0\)
Problem 17
Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$3 x^{2}-17 x+10$$
Problem 17
Factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$x^{2}-2 x-15$$
