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Chapter 6: Problem 32
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. $$12 x^{2}-4 x^{4}$$
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Contain polynomials in several variables. Factor each polynomial completely and check using multiplication. $$a^{2} y-b^{2} y-a^{2} x+b^{2} x$$
Now let's move on to factorizations that may require two or more techniques. Factor completely, or state that the polynomial is prime. Check factorizations using multiplication or a graphing utility. $$48 a^{4}-3 a^{2}$$
Determine whether each statement 鈥渕akes sense鈥� or 鈥渄oes not make sense鈥� and explain your reasoning. The factorable trinomial \(4 x^{2}+8 x+3\) and the prime trinomial \(4 x^{2}+8 x+1\) are in the form \(a x^{2}+b x+c\) but \(b^{2}-4 a c\) is a perfect square only in the case of the factorable trinomial.
Contain polynomials in several variables. Factor each polynomial completely and check using multiplication. $$16 a^{2}-32 a b+12 b^{2}$$
Contain polynomials in several variables. Factor each polynomial completely and check using multiplication. $$16 x^{4} y-y^{5}$$
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