Question

Factor completely.
5t^6-35t^5-150t^4

Answer 1

\[5t ^{6}-35t ^{5}-150t ^{4}\]

Answer 2

first take t^4 common

Answer 3

?

Answer 4

\[t^{4}(5t^{2}-35t-150)\]

Answer 5

now i suppose you know factoring quadratic expressions

Answer 6

If you explain the steps I'd understand

Answer 7

Continuing from above: Take out the 5 common to all three terms to get:

5t^4 ( t^2 - 7t - 30)

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( t^2 - 7t - 30) will factor. What are two numbers that multiply to -30 and
add to -7.