HardMathematicsHigh School (9–10)GeneralAlgebra › Algebraic Identities and FactorisationAlgebra › PolynomialsNumericalBoard ExamSAT
Factorise x³ + 2x² - 13x + 10.
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
Factorise .
Need a reminder? The key ideaShow
To factorise , split into two terms whose coefficients multiply to . For a cubic, find one zero by testing the divisors of the constant term, divide it out, and factorise the quadratic that is left.
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Test. , so is a factor.
Step 2. Divide. .
Step 3. The quadratic. .
Answer: .
Discussion (0)
Log in to join the discussion.
Loading…