Posted by tonya on Friday, February 11, 2011 at 10:21pm.
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 :)
75x^4+35x^3-10x^2=(5x^2)*(15x^2+7x-2)
Factoring:
15x^2+7x-2
Using the factor pair (-3, 10) whose sum is 7, rewrite your equation replacing the term 7 x with
-3 x and 10 x.
15x^2+7x-2=15x^2-3x+10x-2
Now group the first two terms and the last two terms on the left hand side:
(15x^2-3x)+(10x-2)
Within each group, factor out common factors.
(15x^2-3x)+(10x-2)=3x*(5x-1)+2*(5x-1)
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.
3x*(5x-1)+2*(5x-1)=(5x-1)*(3x+2)
15x^2+7x-2=(5x-1)*(3x+2)
75x^4+35x^3-10x^2=(5x^2)*(15x^2+7x-2)=
(5x^2)*(5x-1)*(3x+2)
Hvala
Hvala
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