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Question

Which one is a factor of

2 x^{4} - 5 x^{3} + 6 x^{2}

-5x+2?

x+1

x-1

x+2

x-4

ANSWER : 2

Descrption

<math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>2</mn><msup><mi>x</mi><mn>4</mn></msup><mo> - </mo><mn>5</mn><msup><mi>x</mi><mn>3</mn></msup><mo>  +  </mo><mn>6</mn><msup><mi>x</mi><mn>2</mn></msup><mo> - </mo><mn>5</mn><mi>x</mi><mo>  +  </mo><mn>2</mn></math><br> <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo> = </mo><mn>2</mn><msup><mi>x</mi><mn>4</mn></msup><mo> - </mo><mn>2</mn><msup><mi>x</mi><mn>3</mn></msup><mo> - </mo><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup><mo>  +  </mo><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup><mo>  +  </mo><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup><mo> - </mo><mn>3</mn><mi>x</mi><mo> - </mo><mn>2</mn><mi>x</mi><mo>  +  </mo><mn>2</mn></math><br><math xmlns = "http://www.w3.org/1998/Math/MathML"><mo> = </mo><mn>2</mn><msup><mi>x</mi><mn>3</mn></msup><mo>(</mo><mi>x</mi><mo> - </mo><mn>1</mn><mo>)</mo><mo> - </mo><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup><mo>(</mo><mi>x</mi><mo> - </mo><mn>1</mn><mo>)</mo><mo>  +  </mo><mn>3</mn><mi>x</mi><mo>(</mo><mi>x</mi><mo> - </mo><mn>1</mn><mo>)</mo><mo> - </mo><mn>2</mn><mo>(</mo><mi>x</mi><mo> - </mo><mn>1</mn><mo>)</mo></math><br> <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo> = </mo><mo>(</mo><mi>x</mi><mo> - </mo><mn>1</mn><mo>)</mo><mo>(</mo><mn>2</mn><msup><mi>x</mi><mn>3</mn></msup><mo> - </mo><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup><mo>  +  </mo><mn>3</mn><mi>x</mi><mo> - </mo><mn>2</mn><mo>)</mo></math><br><math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>.</mo><mo>:</mo><mo>.</mo><mo>&#xA0;</mo><mn>2</mn><msup><mi>x</mi><mn>4</mn></msup><mo> - </mo><mn>5</mn><msup><mi>x</mi><mn>3</mn></msup><mo>  +  </mo><mn>6</mn><msup><mi>x</mi><mn>2</mn></msup><mo> - </mo><mn>5</mn><mi>x</mi><mo>  +  </mo><mn>2</mn><mo>&#xA0;</mo></math> এর একটি উৎপাদক (x - 1) .

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