Question

2x3-3x2+5x+21 by 2x+3 divide​

Answer 1

Answer:

x^2 -3x +7

Step-by-step explanation:

in attached file

Answer 2

Answer:

Required answer is ${x}^{2} - 3x + 7$

Step-by-step explanation:

Given,

$2 {x}^{3} - 3 {x}^{2} + 5x + 21$

and 2x+3.

We want to divide $(2 {x}^{3} - 3 {x}^{2} + 5x + 21) \: by \: (2x + 3)$

Now question is what is Division?

We know,

Division is the mathematical process of finding out how many times one number is contained in another.

Divide a by b = a÷b $= \frac{a}{b}$

By some examples, we can understand this concept.

Example -1:

$= 20 \div 5 \\ = \frac{20}{5} \\ = 4$

Example -2:

$\frac{1}{2} \div \frac{3}{2} \\ = \frac{1}{2} \times \frac{2}{3} \\ = \frac{1}{3}$

Now,

$2 {x}^{3} - 3 {x}^{2} + 5x + 21 \\ = 2 {x}^{3} + 3 {x}^{2} - 3 {x}^{2} - 3 {x}^{2} + 5x + 21 \\ = 2 {x}^{3} + 3 {x}^{2} - 6 {x}^{2} - 9x + 9x + 5x + 21 \\ = 2 {x}^{3} + 3 {x}^{2} - 6 {x}^{2} - 9x + 14x + 21 \\ = {x}^{2} (2x + 3) - 3x(2x + 3) + 7(2x + 3) \\ = (2x + 3)( {x}^{2} - 3x + 7)$

So,

$\frac{2 {x}^{3} - 3 {x}^{2} + 5x + 21}{2x + 3} \\ = \frac{(2x + 3)( {x}^{2} - 3x + 7)}{(2 \times + 3)} \\ = {x}^{2} - 3x + 7$

Division related two more questions:

https://brainly.in/question/48117175

https://brainly.in/question/52154710

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