Asked by Destiney Riley on May 06, 2024

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Factor out the greatest common monomial factor from the polynomial 21y−1221 y - 1221y12 .

A) 12(21y−4) 12 ( 21 y - 4 ) 12(21y4)
B) 21(y−4) 21 ( y - 4 ) 21(y4)
C) 3(7y−12) 3 ( 7 y - 12 ) 3(7y12)
D) 3(7y−4) 3 ( 7 y - 4 ) 3(7y4)
E) no common factor other than 1

Greatest Common Monomial Factor

The largest monomial that divides each term of a given polynomial without a remainder.

Polynomial

An expression made up of variables and constants, combined with addition, subtraction, and multiplication, and featuring whole number exponents.

  • Simplify expressions through the extraction of mutual binomial or monomial factors.
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Fatma AlnaaimiMay 10, 2024
Final Answer :
D
Explanation :
The greatest common monomial factor is 3. Thus, we can write the polynomial as 3(7y−4)3(7y-4)3(7y4) . Therefore, the answer is D.