Question

Factorise.
(1) 2 y^2-11 y +5
(2) x^2-2 X-80
(3) 3 x^2 - 4 x +1​

Answer 1

Answer:

1)2ysquare-11y+5

2ysquare-10y-y+5

2y(y-5) -1(y-5)

y=5and 1/2

2)Step-1 : Multiply the coefficient of the first term by the constant   1 • -80 = -80

Step-2 : Find two factors of  -80  whose sum equals the coefficient of the middle term, which is   2 .

    -80    +    1    =    -79

    -40    +    2    =    -38

    -20    +    4    =    -16

    -16    +    5    =    -11

    -10    +    8    =    -2

    -8    +    10    =    2    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -8  and  10

                   x2 - 8x + 10x - 80

Step-4 : Add up the first 2 terms, pulling out like factors :

                  x • (x-8)

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

                  10 • (x-8)

Step-5 : Add up the four terms of step 4 :

                  (x+10)  •  (x-8)

           Which is the desired factorization

3)  I DONT KNOW

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