Math, asked by Anonymous, 11 months ago

Divide 3x square +x-1 by x+1

Answers

Answered by nisi4
88

Step-by-step explanation:

here is your solution

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Answered by hukam0685
7

Quotient of division : 3x-2,

Remainder of division : 1

Given:

  • 3 {x}^{2}  + x - 1 \\ and
  • x + 1 \\

To find:

  • Division of first polynomial by later.

Solution:

Step 1:

Write the polynomial for division.

x + 1 \: ) \: 3 {x}^{2}  + x - 1 \: ( \\

Step 2:

Multiply (x+1) by 3x.

x + 1 \: ) \: 3 {x}^{2}  + x - 1 \: ( \: 3x \\ 3 {x}^{2}  + 3x \\  ( - ) \:  \:  \: ( - ) \:  \:  \: \\  -  -  -  -  -  \\  - 2x - 1 \\

Step 3:

Multiply (x+1) by -2.

x + 1 \: ) \: 3 {x}^{2}  + x - 1 \: ( \: 3x  - 2\\ 3 {x}^{2}  + 3x \\  ( - ) \:  \:  \: ( - ) \:  \:  \: \\  -  -  -  -  -  \\  - 2x - 1 \\  - 2x - 2 \\ ( + ) \:  \: ( + ) \\  -  -  -  -  -   \\ 1 \\  -  -  -  -  -  \\

Thus,

Quotient of division : 3x-2 and remainder of division: 1

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