Factor polynomial $$ b^{3}-2 b^{2}+3 b-6 $$

Question

UpStudy AI · Accepted Answer

Factor the expression $$ b^{3}-2b^{2}+3b-6 $$.
Factor the expression by following steps:
- step0: Factor:
  $$b^{3}-2b^{2}+3b-6$$
- step1: Rewrite the expression:
  $$b^{3}+3b-2b^{2}-6$$
- step2: Factor the expression:
  $$b\left(b^{2}+3\right)-2\left(b^{2}+3\right)$$
- step3: Factor the expression:
  $$\left(b-2\right)\left(b^{2}+3\right)$$
The factored form of the polynomial $$b^{3}-2b^{2}+3b-6$$ is $$(b-2)(b^{2}+3)$$.
The polynomial $$ b^{3}-2b^{2}+3b-6 $$ factors to $$ (b-2)(b^{2}+3) $$.

Factor polynomial

Upstudy AI Solution

Answer

Solution

Mind Expander

Related Questions

Latest Algebra Questions