please factorise it
Answers
Answer:
the answer is 1/2,2,-3
Step-by-step explanation:
Step 1 :
The polynomial 2x3+x2−13x+6 can be factorized by using the rational root test. To apply this test first we need to find at least one rational zero.
In this case one rational zero is x=12.
This means that we can divide polynomial 2x3+x2−13x+6 by 2x−1 (the factor theorem)
After division we have: (you can use Synthetic Division Calculator for the step-by-step explanation on how to divide polynomials. )
2x3+x2−13x+62x−1=x2+x−6
that is
2x3+x2−13x+6=(2x−1)(x2+x−6)
Step 2 :
Polynomial x2+x−6 can be factored in 2 steps.
step 1: Solve quadratic equation x2+x−6=0 by using step-by-step quadratic equation solver (opens new window).
The solutions are:
x1=2
x2=−3
step2: Use formula for factoring quadratic equation:
ax2+bx+c=a(x−x1)(x−x2)
Where x1 and x2 are solutions of quadratic equation.In our case we have:
x2+x−6=1(x−2)(x−(−3)) that is
x2+x−6=(x−2)(x+3)
Answer:
(x-2)(2x+3)(x+1)
Step-by-step explanation: