if px^3 + 3x^2 + 6x + 2 is divisible by x+3, then what is value of p..?
Answers
Answer:
Step-by-step explanation:
ANSWER
Let △=
∣
∣
∣
∣
∣
∣
∣
∣
1
(2
x
+2
−x
)
2
(2
x
−2
−x
)
2
1
(3
x
+3
−x
)
2
(3
x
−3
−x
)
2
1
(5
x
+5
−x
)
2
(5
x
−5
−x
)
2
∣
∣
∣
∣
∣
∣
∣
∣
Applying R
2
→R
2
−R
3
, we get
△=
∣
∣
∣
∣
∣
∣
∣
∣
1
4.2
x
.2
−x
(2
x
−2
−x
)
2
1
4.3
x
.3
−x
(3
x
−3
−x
)
2
1
4.5
x
.5
−x
(5
x
−5
−x
)
2
∣
∣
∣
∣
∣
∣
∣
∣
⇒△=4
∣
∣
∣
∣
∣
∣
∣
∣
1
1
(2
x
−2
−x
)
2
1
1
(3
x
−3
−x
)
2
1
1
(5
x
−5
−x
)
2
∣
∣
∣
∣
∣
∣
∣
∣
Applying R
1
→R
1
−R
2
, we get
⇒△=4
∣
∣
∣
∣
∣
∣
∣
∣
0
1
(2
x
−2
−x
)
2
0
1
(3
x
−3
−x
)
2
0
1
(5
x
−5
−x
)
2
∣
∣
∣
∣
∣
∣
∣
∣
∴△=0