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

Factor f(x)=3x^3-16x^2-103x+36
Factor using the rational roots test.
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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.
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Substitute into the polynomial.
Raise to the power of .
Multiply by .
Raise to the power of .
Multiply by .
Subtract from .
Multiply by .
Subtract from .
Add and .
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.
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Factor using the AC method.
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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