113+11x-38x+2

Rewrite the exponentiation as a product.

11⋅112+11x-38x+2

Rewrite the exponentiation as a product.

11⋅(11⋅11)+11x-38x+2

Remove parentheses.

11⋅11⋅11+11x-38x+2

Multiply 11 by 11.

121⋅11+11x-38x+2

Multiply 121 by 11.

1331+11x-38x+2

Reorder 1331 and 11x.

11x+1331-38x+2

Subtract 38 from 1331.

11x+1293x+2

11x+1293x+2

Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.

x | + | 2 | 11x | + | 1293 |

Divide the highest order term in the dividend 11x by the highest order term in divisor x.

11 | |||||||

x | + | 2 | 11x | + | 1293 |

Multiply the new quotient term by the divisor.

11 | |||||||

x | + | 2 | 11x | + | 1293 | ||

+ | 11x | + | 22 |

The expression needs to be subtracted from the dividend, so change all the signs in 11x+22

11 | |||||||

x | + | 2 | 11x | + | 1293 | ||

– | 11x | – | 22 |

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

11 | |||||||

x | + | 2 | 11x | + | 1293 | ||

– | 11x | – | 22 | ||||

+ | 1271 |

The final answer is the quotient plus the remainder over the divisor.

11+1271x+2

Divide (11^3+11x-38)/(x+2)