Question

# 6x^{2} - 5x + 1 a= b= c= List the factors of ac Which of those factors add up to b?

Factors and multiples
$$\displaystyle{6}{x}^{{{2}}}-{5}{x}+{1}$$
$$\displaystyle{a}={b}={c}=$$
1. List the factors of ac
2. Which of those factors add up to b?
3. Replace b with those factors. You should have 4 terms in your polynomial now.
4. Group the first 2 terms and group the last 2 terms.
5 Factor out the GCF's of both groups, you shoild have 2 factors that are twins.
6. Group the twins together and group the GCF's together.

2021-08-04
$$\displaystyle{6}{x}^{{{2}}}-{5}{x}+{1}$$
$$\displaystyle{a}={6}{b}=-{5}{c}={1}$$
1. $$\displaystyle{a}{c}={6}={2}\times{3}\times{1}.$$
2. $$\displaystyle-{2}\pm{3}=-{5}={b}$$
3. $$\displaystyle{6}{x}^{{{2}}}-{5}{x}+{1}={6}{x}^{{{2}}}-{2}{x}-{3}{x}+{1}$$
4. $$\displaystyle{6}\cdot{2}{x}{\left({3}{x}-{1}\right)}-{1}{\left({3}{x}-{1}\right)}{G}{C}{F}={\left({3}{x}-{1}\right)}$$
5. $$\displaystyle{\left({2}{x}-{1}\right)}{\left({3}{x}-{1}\right)}$$