Factor out the greatest common monomial factor from the polynomial 60 t 2 − 75 60 t ^ { 2 } - 75 60 t 2 − 75 .A) 15 t ( 4 t − 75 ) 15 t ( 4 t - 75 ) 15 t ( 4 t − 75 ) B) 75 ( 60 t 2 − 1 ) 75 \left( 60 t ^ { 2 } - 1 \right) 75 ( 60 t 2 − 1 ) C) 60 t ( t − 75 ) 60 t ( t - 75 ) 60 t ( t − 75 ) D) 15 ( 4 t 2 − 5 ) 15 \left( 4 t ^ { 2 } - 5 \right) 15 ( 4 t 2 − 5 ) E) no common factor other than 1

Question

Factor out the greatest common monomial factor from the polynomial   60 t 2 − 75 60 t ^ { 2 } - 75 60 t 2 − 75  .A)    15 t ( 4 t − 75 )  15 t ( 4 t - 75 )  15 t ( 4 t − 75 )  B)    75 ( 60 t 2 − 1 )  75 \left( 60 t ^ { 2 } - 1 \right)  75 ( 60 t 2 − 1 )  C)    60 t ( t − 75 )  60 t ( t - 75 )  60 t ( t − 75 )  D)    15 ( 4 t 2 − 5 )  15 \left( 4 t ^ { 2 } - 5 \right)  15 ( 4 t 2 − 5 )  E) no common factor other than 1

Shannel Suguitan · Accepted Answer

Final Answer : D, Explanation :   The greatest common factor (GCF) of 60 and 75 is 15, and   t 2 t^2 t 2   can only be factored out where it appears, so the correct factorization is   15 ( 4 t 2 − 5 ) 15(4t^2 - 5) 15 ( 4 t 2 − 5 )  .

Factor out the greatest common monomial factor from the polynomial $60 t ^ { 2 } - 75$ .

A) $15 t (4 t - 75)$
B) $\left( 60 t ^ { 2 } - 1 \right)$
C) $60 t (t - 75)$
D) $\left( 4 t ^ { 2 } - 5 \right)$
E) no common factor other than 1

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