Question

HELP ME GIING MEDALS AWAY ??????????????????

Answer 1

Explain how you can use the distributive property to check the binomial factors when a trinomial has been factored. Include an example in your explanation.

Answer 2

nVM I got it

Answer 3

here's the following trinomial
\[x^2 +8x+12\]
factor the above using 2 groups.
what are 2 number when multiplied equal 12 and when added equals 8
that would be 6 and 2
Therefore the new shape would be
\[x^2 +2x +6x + 12\]
Now factor by groups
\[(x^2+2x) (6x+12)\]
Common factor for the 1st binomial would be: x
Common factor for the second binomial would be 6
Now divide each binomial on it's factor. therefore the answer would be
\[(x+2) (x+6)\]
Now for the above binomial you can use distributive property to check if you answer is correct or not. let's try it out

which means we are going to multiply each variable or number from the 1st binomial to the whole 2nd binomial
and so
\[(x+2)(x+6)\]
\[x*x = x^2\]
\[x*6 = 6x\]
\[2*x= 2x\]
\[2*6= 12\]
Combine like terms
\[x^2 + 6x + 2x +12\]
which would equal
\[x^2 +8x +12\]
which is the same trinomial we factored. which means our answer is correct.
hope that helps. :)

Answer 4

thxs