The expression 3x2+14x+8 can be written in the form(3x+A)(x+B) where A and B are integers. What is the value of A−B?
+349 The expression can be factored by using the X method or the multiplying method,
which is (3x+4)(x+2). A and B are 4 and 2, so A - B = 2. btw the multiplying method is where you multiply 8 by 3 and get 24, and 12*2=24 12+2=14,
3*4=12, so (3x+4) comes together. then the 2 is prime, so it goes on the other side. ( it's a little confusing at first but it gets better )
+2668 Wait.. I got a different answer.
To factor the equation 3x2+14x+8, we need to find a pair of numbers that sum to 14 (middle number, coefficient of x) and multiply to 24 (product of 3 and 8, x^2 coefficient)
The 2 numbers that satisfy this pair are 2 and 12. Now, we rewrite the equation as: 3x2+12x+2x+8
Now, we can factor the first 2 terms and last 2 terms seperatelty. This gives us: 3x(x+4)+2(x+4).
However, because both have an (x+4) term in them, we can add them, giving us:(3x+2)(x+4).
This means that A=2 and B=4, meaning A−B=2−4=−2
