10 февр. 2018 г. · Try factoring by grouping. This is usually quite easy to see if it will work. If not, you can test a few numbers using the rational root theorem to see if they ...

31 июл. 2024 г. · First you transform the polynomial to a monic polynomial by putting x = y/a, where a is the coefficient of x^3 and then you multiply the ...

24 окт. 2023 г. · I have a cubic polynomial in the form ax 3 + bx 2 + cx + d = 0 and I want to factor it into the form (x + d)(ax 2 + bx + c) = 0 in order to perform partial

24 сент. 2024 г. · If the coefficient of x^3 is some number, say a, then look for 1/a, or 2/a etc for roots which means a factor will be (ax-b) or (ax+b) where b ...

14 июн. 2016 г. · Use the rational root theorem to identify the possible rational roots. (In this case, they are ±1, ±2, ±4, ±8, and ±16.) Then try using ...

21 сент. 2024 г. · Use the sum of cubes pattern or the difference of cubes pattern: a³ + b³ = (a + b)(a² - ab + b²) a³ - b³ = (a - b)(a² + ab + b²)\. Or factor ...

8 нояб. 2022 г. · Try +1, -1, +2, -2 as possible roots. Plug each in for x. If the result is 0, that x-value is a root. Call it 'a.' Then (x-a) is a factor.

2 февр. 2018 г. · Use the rational root theorem and polynomial division (or synthetic division as a time-saver). Look them up if you don't know what they are.

15 нояб. 2021 г. · If you have learned about polynomial long division, divide your cubic polynomial by (x - root).

3 июл. 2023 г. · You can multiply the factor by ax 2 + bx + c and equate terms to find the remaining quadratic, and then factorise that.