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Magazine Problem 12
Find the greatest common factor of each list of monomials. $$18 x^{5} y^{4}, 6 x^{6} y^{3},\( and \)12 x^{4} y^{5}$$
Problem 12
Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$3 x^{2}+14 x-5$$
Problem 13
Use factoring to solve quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\)-intercepts. \(x^{2}-4 x=21\)
Problem 13
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. $$27 x^{3} y^{3}+8$$
Problem 13
Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$3 x^{2}-22 x+7$$
Problem 13
In Exercises \(1-26,\) factor each difference of two squares. $$x^{4}-9$$
Problem 13
Factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$x^{2}+3 x-10$$
Problem 13
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. $$8 x+8$$
Problem 14
Use factoring to solve quadratic equation. Check by substitution or by using a graphing utility and identifying \(x\)-intercepts. \(x^{2}+7 x=18\)
Problem 14
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. $$216 x^{3} y^{3}+125$$
