Factor the GCF from each term in the expression. Can you please show me the steps on how you reached your answer? Thank you!!
8m^7+6m^4-4m^2
look at the m's. the lowest m term is m^2, and it is common to them all.
factor it out.
m^2 ( 8m^5+6m^2 -4)
now look at the numbers. a 2 can be factored out:
2m^2 ( 4m^5+3m^2 -2)
That is it.
To factor out the greatest common factor (GCF) from each term in the expression 8m^7 + 6m^4 - 4m^2, follow these steps:
Step 1: Identify the common factors of all the terms. In this case, the terms have a common factor of 2 and the variable "m" raised to different exponents.
Step 2: Find the lowest exponent of the common variable. In this case, since the variable "m" appears with exponents of 7, 4, and 2, the lowest exponent is 2.
Step 3: Write the GCF outside the parentheses. The GCF in this case is 2m^2.
Step 4: Divide each term in the expression by the GCF.
Dividing the first term 8m^7 by 2m^2 gives us 4m^(7-2) = 4m^5.
Dividing the second term 6m^4 by 2m^2 gives us 3m^(4-2) = 3m^2.
Dividing the third term -4m^2 by 2m^2 gives us -2.
So, factoring out the GCF from the expression 8m^7 + 6m^4 - 4m^2 yields:
2m^2(4m^5 + 3m^2 - 2)