Factor 2t^6-30t^5-200t^4

Math
2t6-30t5-200t4
Factor 2t4 out of 2t6-30t5-200t4.
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Factor 2t4 out of 2t6.
2t4(t2)-30t5-200t4
Factor 2t4 out of -30t5.
2t4(t2)+2t4(-15t)-200t4
Factor 2t4 out of -200t4.
2t4(t2)+2t4(-15t)+2t4(-100)
Factor 2t4 out of 2t4(t2)+2t4(-15t).
2t4(t2-15t)+2t4(-100)
Factor 2t4 out of 2t4(t2-15t)+2t4(-100).
2t4(t2-15t-100)
2t4(t2-15t-100)
Factor.
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Factor t2-15t-100 using the AC method.
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Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is -100 and whose sum is -15.
-20,5
Write the factored form using these integers.
2t4((t-20)(t+5))
2t4((t-20)(t+5))
Remove unnecessary parentheses.
2t4(t-20)(t+5)
2t4(t-20)(t+5)
Factor 2t^6-30t^5-200t^4

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