How do you factor 3x^2 + x - 14 (with detailed explanation)?
I've been working on this for hours!
I've been working on this for hours!
1 Answer
Explanation:
Multiplying the value of c and a in the given expression gives us -42.
We need to find out 2 numbers, which are factors of -42 (can be + or -), but also add up up to the value of b, which is 1.
After 30 second think, we should find out that it's -6 and 7.
With these 2 new values, we replace the b in the equation, with -6x and 7x.
This rearranges to give us:
We can factorize the first 2 terms of the expression and the second term but the same factors in the brackets to give us:
then we can pick up the values not in the brackets and put them together in one as well, and so putting the two brackets as such:
The values not in brackets are 3x and +7, which can give us another factor:
This means that if we include the other bracket as well, the entire expression goes to:
