Factorize cubic polynomial: Write the factored form of 9t3−18t2.Factor out 9t2 from 9t3 and 18t2.9t3−18t2=9t2(t−2)
Factorize linear polynomial: Write the factored form of 2t−4. Factor out 2 from 2t and 4. 2t−4=2(t−2)
Combine factorized polynomials: We found:9t3−18t2=9t2(t−2)2t−4=2(t−2)Write the factored form of 9t3−18t2+2t−4.Factor out (t−2) from 9t2(t−2) and 2(t−2).So, the factored form of 9t3−18t2+2t−4 is (9t2+2)(t−2).