206k views
0 votes
Factor 1.21a^6+22a^3+100

User BohdanZPM
by
8.0k points

1 Answer

4 votes

Answer:


(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.

User IanG
by
8.0k points

Related questions

asked Jan 18, 2021 82.3k views
Sean Shi asked Jan 18, 2021
by Sean Shi
7.3k points
1 answer
5 votes
82.3k views
asked Apr 4, 2024 120k views
Mosquito Mike asked Apr 4, 2024
by Mosquito Mike
8.1k points
1 answer
5 votes
120k views