Asked by ARIANA
solve by factoring (i know they are are divisible by 14, but I'm stuck) Thank you
210x^3 + 266x^2 + 14x - 42 = 0
210x^3 + 266x^2 + 14x - 42 = 0
Answers
Answered by
oobleck
210x^3 + 266x^2 + 14x - 42
=14(15x^3 + 19x^2 + x - 3)
A little synthetic division and application of the Rational Roots Theorem yields
=14(x+1)(15x^2 + 4x - 3)
That will take some fiddling, but since the discriminant is a perfect square (196), you know that it can be done. Maybe just run it through the quadratic formula, and you have
=14(x+1)(5x+3)(3x-1)
=14(15x^3 + 19x^2 + x - 3)
A little synthetic division and application of the Rational Roots Theorem yields
=14(x+1)(15x^2 + 4x - 3)
That will take some fiddling, but since the discriminant is a perfect square (196), you know that it can be done. Maybe just run it through the quadratic formula, and you have
=14(x+1)(5x+3)(3x-1)
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.