Question

(y²+11y+24)divide (y+8)

Answer 1

Answer:

Hope this helps you....

Answer 2

Dividing y² + 11y + 24 by y + 8 we get y + 3

Given :

The expression y² + 11y + 24

To find :

Divide y² + 11y + 24 by y + 8

Method : 1

Solution :

Step 1 of 3 :

Write down the given expression

Here the given expression is y² + 11y + 24

Step 2 of 3 :

Factorise y² + 11y + 24

$\displaystyle \sf{ {y}^{2} + 11y + 24 }$

$\displaystyle \sf{ = {y}^{2} + (8 + 3)y + 24 }$

$\displaystyle \sf{ = {y}^{2} + 8y + 3y + 24 }$

$\displaystyle \sf{ = y(y + 8) + 3(y + 8)}$

$\displaystyle \sf{ = (y + 8) (y + 3)}$

Step 3 of 3 :

Divide y² + 11y + 24 by y + 8

Dividing y² + 11y + 24 by y + 8 we get

$\displaystyle \sf{ = \frac{ {y}^{2} + 11y + 24}{y + 8} }$

$\displaystyle \sf{ = \frac{ (y + 8)(y + 3)}{y + 8} }$

$\displaystyle \sf{ =y + 3 }$

Method : 2

Solution :

Step 1 of 2 :

Write down the given expression

Here the given expression is y² + 11y + 24

Step 2 of 2 :

Divide y² + 11y + 24 by y + 8

$\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{}}}&{\underline{\sf{\:\: \: \:\: \:\:\:y + 3\:\: \:\: \: \:\:\:}}}\\ {\underline{\sf{y + 8}}}& {\sf{ {y}^{2} + 11y + 24 }} \\{\sf{}}& \underline{\sf{ {y}^{2} + 8y \: \: \: \: \: \: \: \: \: \: \: }} \\ {\underline{\sf{}}}&{\sf{\: \:\: \:\: \:\: \:\:3y + 24 }} \\{\sf{}}& \underline{\sf{ \: \:\: \:\: \:\: \:\: \:3y + 24 \:}} \\ {\underline{\sf{}}}& {\sf{ \: \: \: \: \: \: \: \: 0}} \end{array}\end{gathered}$

Conclusion :

Dividing y² + 11y + 24 by y + 8 we get y + 3

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