Factor out the greatest common factor from the expression 7x^2+56x-21
doesn't 7 divide into all 3 terms ?
To factor out the greatest common factor from the expression 7x^2 + 56x - 21, we need to identify the highest common factor that can be factored out from all the terms.
Step 1: Identify the factors of each term.
The factors of 7x^2: 7, x, x
The factors of 56x: 7, 2, 2, x
The factors of -21: 7, 3
Step 2: Find the highest common factor.
From the factors above, we can see that the highest common factor is 7.
Step 3: Factor out the greatest common factor.
To factor out 7 from each term, divide each term by 7:
(7x^2 + 56x - 21) / 7 = x^2 + 8x - 3
Therefore, the expression 7x^2 + 56x - 21 can be factored as 7(x^2 + 8x - 3).