Question

The quotient. If 9x²+30x+25 is divided by 3x+5 , is
•3x+5
•-(3x+5)
•3x-5
•-3x+5​

Answer 1

Step-by-step explanation:

9x^2+30x+25=(3x+5)^2

(3x+5)^2/(3x+5)=3x+5

Answer 2

The quotient when 9x² + 30x + 25 is divided by 3x + 5 is 3x + 5

Given :

9x² + 30x + 25 is divided by 3x + 5

To find :

The quotient when 9x² + 30x + 25 is divided by 3x + 5 is

• 3x + 5

• - (3x + 5)

• 3x - 5

• - 3x + 5

Solution :

Solution :Step 1 of 2 :

Write down dividend and divisor

Here it is given that 9x² + 30x + 25 is divided by 3x + 5

Dividend = 9x² + 30x + 25

Divisor = 3x + 5

Step 2 of 2 :

Calculate the quotient

$\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{}}}&{\underline{\sf{\:\:3x + 5\:\:}}}\\ {\underline{\sf{3x + 5}}}& { \: \: \: \: \sf{9 {x}^{2} + 30x + 25 }} \\{\sf{}}& \underline{\sf{9 {x}^{2} + 15x \: \: \: \: \: }} \\ {\underline{\sf{}}}&{\sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:15x + 25 }} \\{\sf{}}& \underline{\sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 15x + 25}} \\ {\underline{\sf{}}}& {\sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: 0}}{\sf{}}&{\sf{\:\:\:\:}}\end{array}\end{gathered}$

So the required quotient is 3x + 5

Hence the correct option is 3x + 5

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