Question

If x - 3y exactly divides x2 - 7xy + 12y2 the remainder is​

Answer 1

Answer:

(x-3y) × (×-4y)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

((x2) - 7xy) + (22•3y2)

STEP

2

:

Trying to factor a multi variable polynomial

2.1 Factoring x2 - 7xy + 12y2

Try to factor this multi-variable trinomial using trial and error

Found a factorization : (x - 3y)•(x - 4y)

Final result :

(x - 3y) • (x - 4y)

Answer 2

Answer:

The answer is 0

Step-by-step explanation:

Here we use the split the middle term method which is:

x² -4xy -3xy + 12y²

Then we check which is the common factors when we group in pairs:

x (x - 4y) -3y (x -4y)

then the final answer of simplification is:

(x-4y)(x-3y)

and when we divide we get x-4y which is the quotient leaving the reminder 0.

So Quotient = x-4y

Remainder = 0