Factor each polynomial. 12t^{4}-t^{2}-35

Gregory Emery 2021-12-14 Answered
Factor each polynomial.
12t4t235
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Expert Answer

Ethan Sanders
Answered 2021-12-15 Author has 35 answers
Step 1
To Factor polynomial.
P(x)=12t4t235
Take u=t2
P(x)=12u2u35
Now by using quadratic formula,
u=bb24ac2a
Step 2
P(x)=12u2u35
u=1±(1)24(12)(35)2(1)
u=1±1+16802
u=1±16812
u=1±412
u=1+412 and u=1412
u=-20 and u=21
Plug in u=t2
t2=20 and t2=21
t2=20 is not possible
Therefore,
t2=21
t=±21

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Melinda McCombs
Answered 2021-12-16 Author has 38 answers
Step 1
Given polynomial is, 12t4t235.
It is factorize as follows:
12t4t235.
Let u=t2.
12t4t235=12u2u35
Step 2
Further simplification,
12u2u35=(3u+5)(4u7)
=(3t2+5)(4t27)
This is the required answer.

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