your math teacher needs help and i am in 6th grade so i need help as well
Answer:
Step-by-step explanation:
1) (3 + 2i) - (1 - 6i)
3 + 2i - 1 + 6i
2 + 8i
2) 4i + 3 - 6 + i - 1
5i - 3 - 1
5i - 4
3) 5i ( 3 - 2i )
15i - 10i^2
15i - 10 ( -1 )
15i + 10
4) ( 5 + 3i ) ( 2 - 3i )
10 - 15i + 6i - 9i^2
10 - 9i - 9i^2
10 - 9i - 9 ( -1 )
10 - 9i + 9
- 9i + 19
5) ( 2 + i ) ( 2 - i )
4 - 2i + 2i - i^2
4 - i^2
4 - (-1)
5
I hope this helps!
Answer:
(x + 2) is a factor of f(x)
Step-by-step explanation:
Using the remainder theorem to divide f(x) by (x - h)
Evaluate f(h) and if equal to 0 then (x - h) is a factor
f(- 3) = (- 3)³ - 7(- 3)² + 36 = - 27 - 63 + 36 ≠ 0
f(- 2) = (- 2)³ - 7(- 2)² + 36 = - 8 - 28 + 36 = 0
f(- 6) = (- 6)³ - 7(- 6)² + 36 = - 216 - 252 + 36 ≠ 0
f(2) = 2³ - 7(2)² + 36 = 8 - 28 + 36 = 16 ≠ 0
Hence (x + 2) is a factor of f(x)
1. x = -5
2. r = 40
3. m = 3