Problem

Factorize the polynomial \(3x^3 - 6x^2 + 2x - 4\) by grouping.

Answer

Expert–verified
Hide Steps
Answer

Notice that the terms \(x - 2\) are common to both groups, so we can factor them out: \((x - 2)(3x^2 + 2)\).

Steps

Step 1 ：First, group the terms into two pairs: \(3x^3 - 6x^2\) and \(2x - 4\).

Step 2 ：Factor out common terms from each group: \(3x^2(x - 2)\) and \(2(x - 2)\).

Step 3 ：Notice that the terms \(x - 2\) are common to both groups, so we can factor them out: \((x - 2)(3x^2 + 2)\).

link_gpt

Popular Problems

Compute $\int_{0}^{\ln (2) / … Solve the triangle. \[ \mathr… QUESTION 2 - 1 POINT Solve th… 5. Suppose you are a computer… Answer the statistical measur… $(-\infty, 2) \cap(-6, \infty… A firm does not pay a dividen… Math 112 Section: 4. Tubercul… Find $y^{\prime}$ if $y=\ln \… 3. (3pts) Cherry trees in a c… More