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Problem 56

Now let's move on to factorizations that may require two or more techniques. In Exercises \(17-80,\) factor completely, or state that the polynomial is prime. Check factorizations using multiplication or a graphing utility. $$-7 y^{3}+21 y^{2}-14 y$$

Problem 56

In Exercises \(45-66,\) factor any perfect square trinomials, or state that the polynomial is prime. $$64 y^{2}-16 y+1$$

Problem 57

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$12 x^{2}-25 x y+12 y^{2}$$

Problem 57

Now let's move on to factorizations that may require two or more techniques. In Exercises \(17-80,\) factor completely, or state that the polynomial is prime. Check factorizations using multiplication or a graphing utility. $$y^{5}-81 y$$

Problem 57

In Exercises \(45-66,\) factor any perfect square trinomials, or state that the polynomial is prime. $$x^{2}-10 x+100$$

Problem 57

Factor each polynomial using the greatest common binomial factor. $$x(x+5)+3(x+5)$$

Problem 57

Solve equation and check your solutions. \((x-4)\left(x^{2}+5 x+6\right)=0\)

Problem 58

Use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. $$12 x^{2}+7 x y-12 y^{2}$$

Problem 58

In Exercises \(45-66,\) factor any perfect square trinomials, or state that the polynomial is prime. $$x^{2}-7 x+49$$

Problem 58

Solve equation and check your solutions. \((x-5)\left(x^{2}-3 x+2\right)=0\)

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