# Factor f(x)=3x^3-16x^2-103x+36

Factor f(x)=3x^3-16x^2-103x+36
Factor using the rational roots test.
If a polynomial function has integer coefficients, then every rational zero will have the form where is a factor of the constant and is a factor of the leading coefficient.
Find every combination of . These are the possible roots of the polynomial function.
Substitute and simplify the expression. In this case, the expression is equal to so is a root of the polynomial.
Substitute into the polynomial.
Raise to the power of .
Multiply by .
Raise to the power of .
Multiply by .
Subtract from .
Multiply by .
Subtract from .
Since is a known root, divide the polynomial by to find the quotient polynomial. This polynomial can then be used to find the remaining roots.
Divide by .
Write as a set of factors.
Factor using the AC method.
Factor using the AC method.
Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Write the factored form using these integers.
Remove unnecessary parentheses.
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### Name

Name seven hundred sixty-two million eight hundred seven thousand one hundred seven

### Interesting facts

• 762807107 has 4 divisors, whose sum is 762874056
• The reverse of 762807107 is 701708267
• Previous prime number is 52387

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 38
• Digital Root 2

### Name

Name two billion twenty-eight million three hundred sixty-seven thousand six hundred ninety-six

### Interesting facts

• 2028367696 has 128 divisors, whose sum is 10614219264
• The reverse of 2028367696 is 6967638202
• Previous prime number is 877

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 49
• Digital Root 4

### Name

Name one billion nine hundred thirty-one million one hundred twenty-three thousand six hundred eighty-seven

### Interesting facts

• 1931123687 has 4 divisors, whose sum is 2044719216
• The reverse of 1931123687 is 7863211391
• Previous prime number is 17

### Basic properties

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