Polynomial Divison
The quotient of the rational expression (x^2 + 2x) / x.
What is x + 2?
Instead of doing long division, we use this theorem to quickly find what is left over by simply evaluating the polynomial at a single value.
What is the Remainder Theorem?
According to the Factor Theorem, if a polynomial P(x) equals 0 when you plug in 5, then this basic binomial is a factor.
What is x - 5?
The simplified result when the difference of squares x^2 - 9 is divided by the binomial (x - 3).
What is x + 3?
To find the remainder of a polynomial divided by the binomial (x - 3) using the Remainder Theorem, you substitute this number into the polynomial.
What is 3?
If the binomial (x + 4) is a confirmed factor of a polynomial P(x), then evaluating P(-4) must yield this exact numerical value.
What is 0?
The quotient found by dividing (3x^2 + 5x + 2) by (x + 1).
What is 3x + 2?
The numerical remainder when the polynomial P(x) = x^2 + 3x + 5 is divided by (x - 1).
What is 9?
The value of the constant 'k' that makes (x - 1) a perfect factor of the polynomial x^2 + 4x + k.
What is -5?