Posted by tonya on .
factor the following expression completely 75x^4+35x^3-10x^2
75x^4 + 35x^3 - 10x^2
See your first post below for an example of how this is done.
Hint, factor out 5x^2 first, then factor the remaining expression.
You will never learn without practice :)
Using the factor pair (-3, 10) whose sum is 7, rewrite your equation replacing the term 7 x with
-3 x and 10 x.
Now group the first two terms and the last two terms on the left hand side:
Within each group, factor out common factors.
Notice that the two quantities in parentheses are the same. This means that the quantity, (5x-1), is a common factor and we can factor it out.