Asked by Destiney Riley on May 06, 2024
Verified
Factor out the greatest common monomial factor from the polynomial 21y−1221 y - 1221y−12 .
A) 12(21y−4) 12 ( 21 y - 4 ) 12(21y−4)
B) 21(y−4) 21 ( y - 4 ) 21(y−4)
C) 3(7y−12) 3 ( 7 y - 12 ) 3(7y−12)
D) 3(7y−4) 3 ( 7 y - 4 ) 3(7y−4)
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.
Verified Answer
FA
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(7y−4) . Therefore, the answer is D.
Learning Objectives
- Simplify expressions through the extraction of mutual binomial or monomial factors.
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