Question

Create two binomials first and then use the distribution method to find their simplified product. The simplified product is the answer.

Answer 1

let the two binomials be x+a and x+b
to find the product means to find (x+m)(y+n)
now distributive property states (a+b)(c+d)=ab+ac+bc+bd
now can u find (x+m)(x+n) ?

Answer 2

Thank you, but they have to be legit numbers and
I have no idea how to do this.

Answer 3

if u want legitimate numbers then take m=n=1
but keep,x and y,they are required.

Answer 4

I have no idea what your saying. =C

Answer 5

The question is asking for you to make an equation with binomials and then solve the question you created

Answer 6

this is an example

The product of these two binomials is x2+x-20

Answer: (x+5)(x-4)

but i cannot use this it must be unique

Answer 7

so i made 2 binomials
those are x+m and x+n

Answer 8

ok,then lets take two binomials as (x+1)(x-1) ok?

Answer 9

ok

Answer 10

now what?

Answer 11

so using distributive property:
(x+1)(x-1)=x^2+x-x-1
so what u get after simplification??

Answer 12

um, x^2+ -1?

Answer 13

almost correct :)
its (x^2-1) after simplification.thats your final answer.

Answer 14

Thank you so much! By any chance can we do just one more?

Answer 15

welcome :)
yes,by every chance.

Answer 16

okay so, x^2+x-4
is this a binomial and how would we solve it

Answer 17

no its not a binomial
its a trinomial as it contains 3 different terms x^2,x,-4

Answer 18

Oh, well what is another random binomial?

Answer 19

have u solved quadratic equations earlier??

Answer 20

I believe so, why?

Answer 21

another random binomial would be 2x+7

Answer 22

okay
so 2x+7
how would I solve this

Answer 23

because x^2+x-4 is a quadratic polynomial.

Answer 24

u do not solve binomials or polynomials
u solve binomial equations or polynomial equations
2x+7 is a binomial and solving it does not make sense
2x+7=0 is a binomial equation and it can be solved to get the value of x.
so u want to solve this:2x+7=0 ??

Answer 25

yes please

Answer 26

so to isolate x first we subtract 7 from both sides to get
2x=-7
now since 2 is multiplied to x,we divide 2 on both sides
x=-7/2
so u solved for x to get its value as -7/2 or -3.5
ok?

Answer 27

ok so what is the answer

Answer 28

to solve is to get the value of x
so the final answer of our example is
x=-3.5