For a polynomial of the form <math><mstyle displaystyle="true"><mi>a</mi><msup><mrow><mi>x</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>+</mo><mi>b</mi><mi>x</mi><mo>+</mo><mi>c</mi></mstyle></math> , rewrite the middle term as a sum of two terms whose product is <math><mstyle displaystyle="true"><mi>a</mi><mo>⋅</mo><mi>c</mi><mo>=</mo><mn>5</mn><mo>⋅</mo><mo>-</mo><mn>3</mn><mo>=</mo><mo>-</mo><mn>15</mn></mstyle></math> and whose sum is <math><mstyle displaystyle="true"><mi>b</mi><mo>=</mo><mn>14</mn></mstyle></math> .

Factor <math><mstyle displaystyle="true"><mn>14</mn></mstyle></math> out of <math><mstyle displaystyle="true"><mn>14</mn><mi>x</mi></mstyle></math> .

Rewrite <math><mstyle displaystyle="true"><mn>14</mn></mstyle></math> as <math><mstyle displaystyle="true"><mo>-</mo><mn>1</mn></mstyle></math> plus <math><mstyle displaystyle="true"><mn>15</mn></mstyle></math>

Apply the distributive property.

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

Factor out the greatest common factor (GCF) from each group.

Factor the polynomial by factoring out the greatest common factor, <math><mstyle displaystyle="true"><mn>5</mn><mi>x</mi><mo>-</mo><mn>1</mn></mstyle></math> .

Factor <math><mstyle displaystyle="true"><mn>3</mn><mi>x</mi></mstyle></math> out of <math><mstyle displaystyle="true"><mn>3</mn><mi>x</mi></mstyle></math> .

Factor <math><mstyle displaystyle="true"><mn>3</mn><mi>x</mi></mstyle></math> out of <math><mstyle displaystyle="true"><mo>-</mo><mn>15</mn><msup><mrow><mi>x</mi></mrow><mrow><mn>2</mn></mrow></msup></mstyle></math> .

Factor <math><mstyle displaystyle="true"><mn>3</mn><mi>x</mi></mstyle></math> out of <math><mstyle displaystyle="true"><mn>3</mn><mi>x</mi><mrow><mo>(</mo><mn>1</mn><mo>)</mo></mrow><mo>+</mo><mn>3</mn><mi>x</mi><mrow><mo>(</mo><mo>-</mo><mn>5</mn><mi>x</mi><mo>)</mo></mrow></mstyle></math> .

Factor <math><mstyle displaystyle="true"><mo>-</mo><mn>1</mn></mstyle></math> out of <math><mstyle displaystyle="true"><mn>5</mn><mi>x</mi></mstyle></math> .

Rewrite <math><mstyle displaystyle="true"><mo>-</mo><mn>1</mn></mstyle></math> as <math><mstyle displaystyle="true"><mo>-</mo><mn>1</mn><mrow><mo>(</mo><mn>1</mn><mo>)</mo></mrow></mstyle></math> .

Factor <math><mstyle displaystyle="true"><mo>-</mo><mn>1</mn></mstyle></math> out of <math><mstyle displaystyle="true"><mo>-</mo><mrow><mo>(</mo><mo>-</mo><mn>5</mn><mi>x</mi><mo>)</mo></mrow><mo>-</mo><mn>1</mn><mrow><mo>(</mo><mn>1</mn><mo>)</mo></mrow></mstyle></math> .

Rewrite <math><mstyle displaystyle="true"><mo>-</mo><mrow><mo>(</mo><mo>-</mo><mn>5</mn><mi>x</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></mstyle></math> as <math><mstyle displaystyle="true"><mo>-</mo><mn>1</mn><mrow><mo>(</mo><mo>-</mo><mn>5</mn><mi>x</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></mstyle></math> .

Reorder terms.

Cancel the common factor.

Rewrite the expression.

Move the negative in front of the fraction.

Do you know how to Simplify (5x^2+14x-3)/(3x-15x^2)? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Name | four hundred four million nine hundred fifty-five thousand eight hundred sixty-four |
---|

- 404955864 has 128 divisors, whose sum is
**1546646400** - The reverse of 404955864 is
**468559404** - Previous prime number is
**239**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 45
- Digital Root 9

Name | two billion one hundred sixteen million six hundred fifty-five thousand five hundred ninety-one |
---|

- 2116655591 has 4 divisors, whose sum is
**2118733800** - The reverse of 2116655591 is
**1955566112** - Previous prime number is
**1019**

- Is Prime? no
- Number parity odd
- Number length 10
- Sum of Digits 41
- Digital Root 5

Name | one billion eight hundred one million one hundred sixty-seven thousand eight hundred twenty-three |
---|

- 1801167823 has 32 divisors, whose sum is
**2538353664** - The reverse of 1801167823 is
**3287611081** - Previous prime number is
**587**

- Is Prime? no
- Number parity odd
- Number length 10
- Sum of Digits 37
- Digital Root 1