Question

pl ans this easy que split the middle term of 4x square minus 40x plus 375

Answer 1

HEY MATE HERE IS UR ANSWER


Q) WE NEED TO SPLIT MIDDLE TERM OF
$8{x}^{2} - 80x + 750$
SOLUTION➡️➡️

HERE

$a = 8 \: b = - 80 \: and \: c = 750$
LET THE NUMBERS SPLITTING MIDDLE TERM = L AND M

SO FOR SPLITTING MIDDLE TERM WE NEED TO FIND A NUMBER SUCH THAT

L + M = b = -80

L × M = ac = 8 × 750 THAT IS 6000

SO THE NUMBERS SATISFYING THIS WOULD BE

SORRY MATE THIS POLYNOMIAL DOESN'T CONTAINS SUCH NUMBER AS

$1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,40,48,50,60,75,80,100,120,125,150,200,240,250,300,375,400,500,600,750,1000,1200,1500,2000,3000,6000..$

THIS ALL ARE FACTORS OF 6000 BUT THERE IS NO SUCH NUMBER SATISFYING ABOVE THINGS


THEREFORE

FACTORISED FORM OF

$8 {x}^{2} - 80x + 750$


WOULD BE

$2(4 {x}^{2} - 40x + 375) \: ( \: as \: by \: taking \: 2 \: as \: common \: )$



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