Question

Factor 1.21a^6+22a^3+100

Answer 1

`(1)/(100) (11 {a}^(3) + 100)(11 {a}^(3) + 100)`

Explanation:

`1.21 {a}^(6) + 22 {a}^(3) + 100 \\ = 1.21 {a}^(6) + 11 {a}^(3) + 11 {a}^(3)+ 100 \\ = 11 {a}^(3) (0.11 {a}^(3) + 1) + 100(0.11 {a}^(3) + 1) \\ = (0.11 {a}^(3) + 1) (11 {a}^(3) + 100) \\ = ( (11)/(100) {a}^(3) + 1) (11 {a}^(3) + 100) \\ = ( \frac{11{a}^(3) + 100}{100} ) (11 {a}^(3) + 100) \\ = (1)/(100) (11 {a}^(3) + 100)(11 {a}^(3) + 100) \\ are \: the \: required \: factors.`