Question

what are 2 binomials whose product is x^2-25?? please help

Answer 1

Difference of squares. \[a^2-b^2=(a+b)(a-b) \]

Answer 2

Ok so what would that make the binomials?

Answer 3

I just hate binomials i can't ever get them.

Answer 4

a+ b <---first binomial

a - b<---second binomial

just substitue a and b to the right values

Answer 5

Yes that's what I am having trouble finding though. Because the question states write 2 binomials whose product is x squared - 25

Answer 6

I have no clue, i know that sounds stupid

Answer 7

I just hate doing math anyways so it's confusing to me even when i do binomials.

Answer 8

okay here's a hint \[a^2 - b^2 \implies (a+b)(a-b)\]
so \[x^2 - 4 \implies (x + 2)(x-2)\]
\[x^2 - 9 \implies (x+3)(x-3)\]
\[x^2 - 16 \implies (x+4)(x-4)\]
are you getting it now?

Answer 9

so a bionomial for x squared -25 could be (x+5)?

Answer 10

yes that's one of the binomials...what's the other?

Answer 11

would it be (x-5)?

Answer 12

yes. the binomials for x^2 - 25 is (x+5)(x-5)

congrats

Answer 13

well see when i typed that in my program on my computer i have to do this math on it said it was incorrect

Answer 14

that's why i hate those computers lol. so picky

Answer 15

try putting them in one by one

Answer 16

i did i tried the x + 5 first

Answer 17

shouldnt make a difference but...try putting x-5 first?

Answer 18

Should I put the ( ) or not?

Answer 19

and it says type your answer in factor form so what would that be

Answer 20

(x+5)(x-5)

Answer 21

^factor form

Answer 22

so the (x+5)(x-5) is factor form?

Answer 23

yes (x+5)(x-5) is factor form...

Answer 24

can i ask you another math question

Answer 25

sure

Answer 26

The number of ways a teacher can award different prizes to 2 students in class having n students is given by the formula p(n)=n(n-1)

Answer 27

use this formula to determeine the number of ways a teacher can award different prizes to 2 students in a class having 6 students

Answer 28

substitute 6 into n in the formula

Answer 29

then it says to rewrite the formula by multiplying the factors

Answer 30

yes. substitute 6 into n in the formula...

Answer 31

ok so the formula would be P(6)=6(6-1)?

Answer 32

yes

Answer 33

just a couple more questions i promise

Answer 34

when i tried typing that the other way it said multiply the two factors of the expression for p(n) given in the problem statement to write the expression in a different way

Answer 35

i dont get what you're asking

Answer 36

It's just saying to rewrite the formula in a different way

Answer 37

by multiplying the factors

Answer 38

just substitute 6 into n...isnt that what you did?

Answer 39

Yea i did that for the first answer but it's not right for the second one

Answer 40

now multiply

Answer 41

simplify it

Answer 42

so the answer would be 30 right that simplified

Answer 43

but that's not the formula

Answer 44

can i give u my math xl login info and let you look at it?

Answer 45

the formula is what you wrote first

Answer 46

the simplified is the second answer

Answer 47

So the first formula was p(n)=n(n-1) then it was P(6)=6(6-1) then it was P(6)=6(5) and then P(6)=30

Answer 48

yes

Answer 49

But when it said to multiply factors and write the formula over I have no idea

Answer 50

multiply the factors means you multiply the factors <--that will give you 30

write the formula over is just copying the formula but substitute 6

Answer 51

ok so my answer box already has P(N)= so i need to put 6 X 5

Answer 52

if the start is p(n) =

then you rewrite the formula... n(n-1)

Answer 53

omg it said it wasn't in correct form that time but it was correct

Answer 54

lol. these computers are confusing me now o.O

Answer 55

I know right I don't know how to put it

Answer 56

me neither.

Answer 57

sorry kid. cant help you with your computer problems.

Answer 58

i have to go now so i wish you luck that you finish this

Answer 59

thanks soooo much for your help

Answer 60

welcome