Long division can be used to divide a polynomial by another polynomial, in this case a binomial of lower degree. When dividing polynomials, we set up the problem the same way as any long division problem, but are careful of terms with zero coefficients. For example, in the polynomial x^3 + 3x + 1, x^2 has a coefficient of zero and needs to be included as x^3+ 0x^2+3x+1in the division problem.
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How to factor trinomials when the leading coefficient has only one pair of factors.
How to factor trinomials with the leading coefficient has more than one pair of factors.
How to factor trinomials when the leading coefficient is negative.
How to factor trinomials when a monomial can be factored out first.
Factoring with an area, or rectangle method when "a" is not one
A method for factoring trinomials that always works, even if "a" is not one: using a diamond, and then factoring by grouping
Factoring trinomials where the "a" value is prime, using a guess and method
Guess and check and FOIL method for factoring trinomials where the "a" value is not prime
Factoring trinomials with a greatest common factor the results in "a" equaling one
Factoring trinomials with GCF and "a" is not 1
A geometric interpretation of factoring trinoimals that uses a length times width equals area rectangular model. A "diamond puzzle" is used to find the rectangle's sub-areas.