Finding the GCF of a Polynomial
Find the greatest common factor (GCF) of the polynomial \(12x^3 + 16x^2 + 20x\).
Factoring Out Greatest Common Factor (GCF)
Factor out the greatest common factor (GCF) from the polynomial \(12x^3 - 36x^2 + 24x\).
Identifying the Common Factors
Factor the polynomial \(12x^3 - 36x^2 + 24x\)
Cancelling the Common Factors
Simplify the expression \(\frac{x^3 - 3x^2 + 2x}{x^2 - x}\)
Factoring Trinomials
Factor the trinomial \(x^2 - 3x - 4\).
Trinomial Squares
Factorize the following trinomial square: \(x^2 - 6x + 9\)
Factoring Using Any Method
Factorize the polynomial \(2x^3 - 5x^2 - 23x + 30\).
Factoring a Difference of Squares
Factorize the following polynomial using the difference of squares method: \(x^2 - 9\)
Factoring a Sum of Cubes
Factorize the sum of cubes \(x^3 + 8\)
Factoring by Grouping
Factorize the polynomial \(3x^3 - 6x^2 + 2x - 4\) by grouping.
Factoring a Difference of Cubes
Factor the polynomial \(x^3 - 8\)
Determine if an Expression is a Factor
Is \(x+2\) a factor of the polynomial \(2x^2 + 4x + 2\)?
Determining if Factor Using Synthetic Division
Determine if the polynomial \(4x^4 - 10x^3 + 4x^2 - 10x + 4\) can be factored by the binomial \(2x-1\) using synthetic division.
Find the Factors Using the Factor Theorem
Find the complex zeros of the following polynomial function. Write $f$ in factored form.
\[
f(x)=x^{3}-8 x^{2}+25 x-26
\]
Determining if the Polynomial is a Perfect Square
Determine if the polynomial \(x^4 - 2x^2y^2 + y^4\) is a perfect square. If so, factor it.
Expand using the Binomial Theorem
Expand the binomial \((x+2)^4\) using the Binomial Theorem, and then factor the resulting polynomial.
Finding All Integers k Such That the Trinomial Can Be Factored
Find all integers \( k \) such that the trinomial \( x^2 - kx + 12 \) can be factored over the integers.