Question

Divide the following by long division method : 12x+36 by x-9​

Answer 1

$\bigstar$ Question:

• Divide 12x + 36 by x - 9 using long division method.

$\bigstar$ Solution:

• Answer in in attachment.
• If there's any problem, you can ask.

So,

$\rightarrow$ Quotient = 12

$\rightarrow$ Remainder = 144

$\rightarrow$ Dividend = 12x + 36

$\rightarrow$ Divisor = x - 9

$\star$ Verification:

We know that Dividend

= Divisor × Quotient + Remainder

= ( x - 9 ) ( 12 ) + 144

= 12x - 108 + 144

= 12x + 36

$\therefore$ Verified too.

Answer 2

Answer :-

→ Quotient = 12

→ Remainder = 144

→ Dividend = 12x + 36

→ Divisors = x - 9

Solution :-

$x - 9 \: ) \: 12x + 36 \: ( \: 12 \\ \: \: \: \: \: \: \: 12x - 108 \\ - \: \: \: \: \: \: \: \: + \\ \: \: \: \: \: \: \: \: - - - - - \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 144$

Verification →

Dividend = Divisors × Quotient + Remainder

$12x + 36 = 12 \times (x - 9) + 144 \\ \\ 12x + 36 = 12x - 108 + 144 \\ \\ 12x + 36 = 12x + 36 \\ \\ l.h.s. = r.h.s.$