Answer:
577
Step-by-step explanation:
Answer:
37.5 minutes
Step-by-step explanation:
45+30=75
=<u>7</u><u>5</u><u> </u>=37.5
2
This might help you!!!!
2a)
To verify, set the factors to zero.
(x - 2) = 0, x = 2
(x + 3) = 0, x = -3
Insert zero's in the equation:
<u>when x = 2</u>
3(2)³ + 2(2)² - 19(2) + 6 = 0
<u>when x = -3</u>
3(-3)³ + 2(-3)² - 19(-3) + 6 = 0
Hence verified the factors.
2b)
![= \sf \dfrac{\left(3x^3+2x^2-19x+6\right)}{\left(x-2\right)\left(x+3\right)}](https://tex.z-dn.net/?f=%3D%20%5Csf%20%5Cdfrac%7B%5Cleft%283x%5E3%2B2x%5E2-19x%2B6%5Cright%29%7D%7B%5Cleft%28x-2%5Cright%29%5Cleft%28x%2B3%5Cright%29%7D)
![\sf = \dfrac{\left(3x-1\right)\left(x-2\right)\left(x+3\right)}{\left(x-2\right)\left(x+3\right)}](https://tex.z-dn.net/?f=%5Csf%20%3D%20%5Cdfrac%7B%5Cleft%283x-1%5Cright%29%5Cleft%28x-2%5Cright%29%5Cleft%28x%2B3%5Cright%29%7D%7B%5Cleft%28x-2%5Cright%29%5Cleft%28x%2B3%5Cright%29%7D)
![\sf = 3x -1](https://tex.z-dn.net/?f=%5Csf%20%3D%203x%20-1)
The remaining factor is (3x - 1)
2c)
Set the factors to zero to find real zeros of f
2d)
<u>Complete factorization</u>: (3x - 1)(x - 2)(x + 3)