Factoring the quadratic equation \(\displaystyle{3}{x}^{{{2}}}-{23}{x}+{14}={0}\)

Lorelei Stanton

Lorelei Stanton

Answered question

2022-04-04

Factoring the quadratic equation 3x223x+14=0

Answer & Explanation

Korbin Rivera

Korbin Rivera

Beginner2022-04-05Added 11 answers

It is a step justified by distributive property
A(B+C)AB+AC
in this case we have A=3x2, that is
(3x2)(x7)=(3x2)x+(3x2)(7)
aznluck4u72x4

aznluck4u72x4

Beginner2022-04-06Added 16 answers

Alternatively, using the AC method, three times the equation is:
9x269x+42=0(3x)223(3x)+42=0
so you just need to factor u223u+42=0 where u=3x. This gives (u21)(u2)=0
(3x21)(3x2)=0, or just (x7)(3x2)=0

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