If ax2 + 2a2x + b3 is divisible by x + a then which condition must be true, [a, b > 0]
Answers
Answered by
3
Step-by-step explanation:
ANSWER
Since ax
2
+2a
2
x+b
3
is divisible by x+a, f(−a)=0.
∴ a(−a)
2
+2a
2
×−a+b
3
=0.
∴ −a
3
+b
3
=0.
∴ (b−a)(b
2
+ab+a
2
)=0.
∴b=a or b
2
+ab+a
2
=0.
Answered by
3
Answer:
D-a=b
Step-by-step explanation:
Let us make a intelligent guessing
On how to solve it in Exam.
As it is given that a and b are greater than 0
So option a is wrong as a+b can't be zero if a and b are both positive.
similarly (a+b)^2 also can't be 0 Do option 2 is also wrong.
And now the answer must be in between C and D
As we know a=bq+r where r is zero when remainder is nothing .
So a=bq
and q is quotient
let us assume q=1
So now A=b
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