Factor the expression completely. 4t^{2}-13t-12

Michael Maggard

Michael Maggard

Answered question

2021-12-09

Factor the expression completely.
4t213t12

Answer & Explanation

Serita Dewitt

Serita Dewitt

Beginner2021-12-10Added 41 answers

Factorize by Prime factorization
4t213t12
f(t)=4t213t12
factorize by prime factorization method
first multiply 12 and 4
12×4=48
now the factors of 48 by L.C.M
48=2×2×2×2×3
we have to break these factors in two part in that way if we add or subtract that numbers we get -13 as a answer
The factors are
f(t)=4t216t+3t12 (16 and 3 are that two numbers which we got from above)
f(t)=4t216t+3t12
f(t)=4t(t-4)+3(t-4)
f(t)=(4t+3)(t-4)
(4t+3) and (t-4) are factors of given polynomial

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