$\"\"$

The polynomial function is $\"\"$ and Hint : $\"\"$ is a one factor of f.

Rewrite the expression in long division form $\"\"$ .

The number zero is included for missing term x in the divisor.

$\"\"$ $\"\"$

The remainder is the last entry in the last row.There fore, $\"\"$ .

The number along the bottom row are the coefficients of the quotient.

By the division algorithm theorem, the result of the division is $\"\"$ .

The factorization (factors are irreducible over the rationals) of f(x) is $\"\"$ . $\"\"$

The factorization (factors are irreducible over the rationals) of f(x) is $\"\"$ .

$\"\"$