Factoring by grouping is an algebraic technique used for simplifying expressions or solving equations. This process entails reorganizing a polynomial into clusters with shared factors. Each of these clusters is then factored individually, leading to a more simplified expression or answer to the equation.
| Topic | Problem | Solution |
|---|---|---|
| None | Factor by grouping (sometimes called the ac-metho… | First, we multiply the coefficient of the x^2 term (28) by the constant term (-2) to get -56. |
| None | Factor by grouping. \[ 8 c^{2}+38 c+35 \] | Group the terms in pairs: (8c^2 + 38c) + 35. |
| None | Factor the expression. Express your answer so tha… | First, we observe that both terms in the expression have common factors of $(2x+5)$ and $(3x+4)$, e… |