Question

Please help it’s algebra 2

Answer 1

The best way to tackle this is to put the answer that you know into a binomial factor. So the solution is x = 4. The binomial factor is (x - 4)

Now you can set up the other binomial factor. You have been given a huge hint. The third term is 28 and one of it's 2 factors is 7.  So this is what you know so far

(x - 4)(  x    7) But what is its sign? The 28 is positive. So the 7 must be minus giving you

(x - 4)(x - 7)  Are we done yet? No There's a 3 on the x^2. Does the 3 go with the x on (x - 4) or does the 3 go with the (x - 7)? We have been told that (x - 4) is one of the factors. No mention of a three. So we should try x - 7 first and write it like this.

(x - 4)(3x - 7)

I think if you remove the brackets, you will find that the middle term is - 19 (-12 - 7 = -19 ) which is exactly what it should be.

Answer (x - 4)(3x - 7)