Question

factorise this no.
$6x2 - 35x + 50 = 0$
do not confuse this is 6x square ​

Answer 1

Answer:

(2x-5) (3x-10)

Step-by-step explanation:

Given,

Quadratic equation 6x²-35x+50=0.

To Find,

The factors of the equation.

Factoring  6x²-35x+50

The first term is,  6x²  its coefficient is  6 .

The middle term is,  -35x  its coefficient is  -35 .

The last term, "the constant", is  +50

Multiply the coefficient of the first term by the constant   6 • 50 = 300

Find two factors of  300  whose sum equals the coefficient of the middle term, which is   -35 .

     -300   +    -1    =    -301

     -150    +    -2    =    -152

     -100    +    -3    =    -103

     -75    +    -4    =    -79

     -60    +    -5    =    -65

     -50    +    -6    =    -56

     -30    +    -10    =    -40

     -25    +    -12    =    -37

     -20    +    -15    =    -35

Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -20  and  -15

6x² - 20x - 15x - 50

Add up the first 2 terms, pulling out like factors :

2x • (3x-10)

Add up the last 2 terms, pulling out common factors :

5 • (3x-10)

Add up the four terms of step 4 :

(2x-5)  •  (3x-10)

#SPJ2