Find the prime factorization of the polynomial. 2t^{2}-4t-48

aramutselv 2021-12-18 Answered
Find the prime factorization of the polynomial.
2t24t48
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Expert Answer

Ben Owens
Answered 2021-12-19 Author has 27 answers
Step 1
Answer:
Given polynomial
p(t)=2t24t48...(i)
eq i is ab the form at2+bt+c
To find prime factorization multiply "a" and "c" and then write factor for "ac", so that it will add up to "b"
Step 2
2×48=96
=12×8
eq i can be written as
p(t)=2t212t+8t48
=2t(t-6)+8(t-6)
p(t)=(t-6)(2t+8)

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