Problem 42
Factor completely. If the polynomial cannot be factored, write prime. \(m^{2}+10 m-30\)
Problem 45
Factor each trinomial completely. See Examples 1–7. ( Hint: In Exercises 55–58, first write the trinomial in descending powers and then factor.) $$ 15 n^{4}-39 n^{3}+18 n^{2} $$
Problem 51
Factor completely. \(v^{2}-11 v w+30 w^{2}\)
Problem 52
Factor completely. \(v^{2}-11 v x+24 x^{2}\)
Problem 60
Factor completely. \(12 k^{5}-6 k^{3}+10 k^{2}\)
Problem 75
Find product. \((5 z+2)(3 z-2)\)
Problem 75
Factor each trinomial completely. See Examples 1–7. ( Hint: In Exercises 55–58, first write the trinomial in descending powers and then factor.) $$ 24 x^{4}+55 x^{2}-24 $$