Question

factorise y^2-3^y-54​

Answer 1

Answer:

Factoring y2-3y-54

The first term is, y2 its coefficient is 1 .

The middle term is, -3y its coefficient is -3 .

The last term, "the constant", is -54

Step-1 : Multiply the coefficient of the first term by the constant 1 • -54 = -54

Step-2 : Find two factors of -54 whose sum equals the coefficient of the middle term, which is -3 .

-54 + 1 = -53

-27 + 2 = -25

-18 + 3 = -15

-9 + 6 = -3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 6

y2 - 9y + 6y - 54

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

y • (y-9)

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

6 • (y-9)

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

(y+6) • (y-9)

Step-by-step explanation:

Factoring y2-3y-54

The first term is, y2 its coefficient is 1 .

The middle term is, -3y its coefficient is -3 .

The last term, "the constant", is -54

Step-1 : Multiply the coefficient of the first term by the constant 1 • -54 = -54

Step-2 : Find two factors of -54 whose sum equals the coefficient of the middle term, which is -3 .

-54 + 1 = -53

-27 + 2 = -25

-18 + 3 = -15

-9 + 6 = -3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 6

y2 - 9y + 6y - 54

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

y • (y-9)

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

6 • (y-9)

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

(y+6) • (y-9)