Answer:(:
Step-by-step explanation: 2
Answer:
D. x^2+12x+36=20+36
Step-by-step explanation:
Answer: 37
Step-by-step explanation:
Step-by-step explanation:
x + 2 = 0
x = -2
3x - 1 = 0
x = ⅓
Substitution :
3x³ - 10x² + px + q = 0
3(-2)³ - 10(-2)² + p(-2) + q = 0
-24 - 40 - 2p + q = 0
-2p + q = 64… Equation 1
3x³ - 10x² + px + q = 0
3(1/3)³ - 10(1/3)² + p(1/3) + q = 0
1/9 - 10/9 + ⅓ p + q = 0
- 1 + ⅓ p + q = 0
⅓ p + q = 1
p + 3q = 3… Equation 2
Elimination Equation 1 and 2 (times 2) :
-2p + q = 64
2p + 6q = 6
___________ +
7q = 70
<u>q = </u><u>1</u><u>0</u>
find p subtitution value of q to equation :
example from second Equation…
p + 3q = 3
p + 3(10) = 3
p + 30 = 3
p = 3 - 30
<u>p = -</u><u>2</u><u>7</u>
∴ So, value of <u>p = -27</u>, <u>q = 10</u>, and the third factor is <u>(3x - 15)</u>