Question

What is the simplified form of the expression the quantity x squared plus 10x plus 21 end quantity divided by 4 times the quantity x plus 3 end quantity?

the quantity x minus 7 end quantity divided by 4
the quantity x plus 7 end quantity divided by 4
the quantity x plus 7 end quantity divided by quantity x plus 3 end quantity
the quantity x minus 7 end quantity divided by quantity x plus 3 end quantity

Answer 1

screenshot

Answer 2

working on it

Answer 3

okay so all you need to do is simplify it
so starting with the denominator you have
4(x+3)
you have to do 4 times x, and then 4 times 3
you end up with 4x+12

after factoring you get
\[\frac{ (x+3)(x+7) }{ 4(x+3) }\]
that simplifies to
\[\frac{ 1 }{ 4 }x +\frac{ 7 }{4 }\]

which is
\[\frac{ x+7 }{4 }\]

Answer 4

do you get it?

Answer 5

processing it

Answer 6

Ok, well, i wrote it down in my notes