Question

could someone explain how to factor this quadratic equation

Answer 1

\[25m ^{2}-30m+9\]

Answer 2

sure...
I'll guide you and u pls give ans to my questions/suggestions.

Answer 3

general form of quadratic equation is
ax² + bx + c

first find the product of a and c for your equation..

Answer 4

225

Answer 5

very good !!!
now find a pair of factors of 225 whose sum is 30..

Answer 6

25 and 5

Answer 7

like
1 * 225 = 225
3 * 75 = 225
5 * 45 = 225
..........
..........

Answer 8

25 * 5 = 125 and not 225 !!

Answer 9

i know
i wasnt paying attention, i cant find it

Answer 10

15 * 15 = 225

Answer 11

yeah i just saw that

Answer 12

now our bx term is -30x
so we have to ensure that the product of these two factors is 225 and their sum is -30
how can we do that???

Answer 13

make the factors of 255 negative

Answer 14

brilliant !!!

-15 * -15 = 225
and
(-15) + (-15) = -30

Answer 15

so the answer is (x-15)(x-15)?

Answer 16

no, it is not like this...
pls follow further instructions...

Answer 17

ok

Answer 18

so we can rewrite your quadratic polynomial as (it is not an equation because it is not = to something)
25m² - 30m + 9
25m² - 15m - 15m + 9
now make pairs of first two terms and last two terms....
then for each pair take out the common factor and enclose the leftover in brackets..
(e.g. 15x² + 3x = 3x(5x + 1)

Answer 19

i dont undedrstand that

Answer 20

ok...
first take 25m² - 15m
what is their GCF ????

Answer 21

5

Answer 22

no it is 5m
so take 5m out and put leftover in bracket 5m( ........)

Answer 23

so its
5m(5m-15m)5m(3m+9)?

Answer 24

i dont think thats right though

Answer 25

No, u hv made a mistake....
25m² - 30m + 9
25m² - 15m - 15m + 9
5m(5m - 3) -3(5m -3) <------ the terms in the bracket have to be same !!!

do you get this???

Answer 26

oh ok

thanks alot

Answer 27

so final factors are
(5m -3)(5m-3)


if u r satisfied with the help, pls click GOOD ANSWER button for me....☺☻☺

Answer 28

how would i do\[9x ^{2}+42x+49\]?
I got up to \[9x ^{2}+21x+21x+49\]
but they dont have a GCF