Factor 2x^3-9x^2+7x+6

Math
Factor using the rational roots test.
Tap for more steps…
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.
Tap for more steps…
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.
Tap for more steps…
Factor using the AC method.
Tap for more steps…
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.
Factor 2x^3-9x^2+7x+6

Do you need help with math?

Try our mobile app

Our app allows students to get instant step-by-step solutions to all kinds of math troubles.

Our MATH EXPERTS

JackHudson

Charlie Trom

Lucy Evel

Scroll to top