Factor 5t^2+40t-45

Math
5t2+40t-45
Factor 5 out of 5t2+40t-45.
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Factor 5 out of 5t2.
5(t2)+40t-45
Factor 5 out of 40t.
5(t2)+5(8t)-45
Factor 5 out of -45.
5t2+5(8t)+5⋅-9
Factor 5 out of 5t2+5(8t).
5(t2+8t)+5⋅-9
Factor 5 out of 5(t2+8t)+5⋅-9.
5(t2+8t-9)
5(t2+8t-9)
Factor.
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Factor t2+8t-9 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 -9 and whose sum is 8.
-1,9
Write the factored form using these integers.
5((t-1)(t+9))
5((t-1)(t+9))
Remove unnecessary parentheses.
5(t-1)(t+9)
5(t-1)(t+9)
Factor 5t^2+40t-45

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