4z^2+5z-6

Question

4z^2+5z-6

anonymous · Answer

3+2 would be the five

anonymous · Answer

4*-6=-24
Now we want factors of -24 that add up to 5:
-3*8=-24
and
-3+8=5

anonymous · Answer

Now use the -3 and the 8 as coefficient for the 5x:
$$4z^2-3z+8x-6$$

anonymous · Answer

4x^2+8x-3x-6, 4x(x+2) -3(x+2) so (4x-3)(x+2)

anonymous · Answer

The first two terms have a GCF of z, and the second two terms have a GCF of 2:
$$z(4z-3)+2(4z-3)$$

anonymous · Answer

4z^2+5z-6 , (4z- 3)(z+  2)

anonymous · Answer

Notice now that there are two terms each with the binomial 4z-3.  Treat that binomial as a GCF (as if it is just a single letter or number) and factor it out:
$$(4z-3)(z+2)$$ This is your factored form.

nilankshi · Answer

good

anonymous · Answer

Imagine A in place of the binomial in the second to last step:
$$z(4z-3)+2(4z-3)$$
zA+2A How would you factor this?  Your factor out the A as a GCF!
$$A(z+2)$$ You are just doing that same thing with the 4z-3

anonymous · Answer

im so dumb i gotta do these over and over again to figure it out lol thanks

anonymous · Answer

Keep practicing!

anonymous · Answer

And have fun while you are doing it :)

anonymous · Answer

hahah i try