if the polinomials x^3+ax^2+5 and x^3-2x^2+a are divided by (x+2) leave the same remainder find the value of a
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9th
Maths
Polynomials
Factorisation of Polynomial
If the polynomials x3 + ax2...
MATHS
If the polynomials x
3
+ax
2
+5 and x
3
−2x
2
+a are divided by (x+2) leave the same remainder, find the value of a
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ANSWER
Given polynomial x
3
+ax
2
+5 and x
3
−2x
2
+a divided by x+2 the remainder is same
Then x+2=0 or x=−2 replace x by −2 we get
p(x)=x
3
+ax
2
+5
p(−2)=(−2)
3
+a(−2)
2
+5
⇒p(2)=−8+a×4+5
⇒P(2)=4a−8+5
⇒p(2)=4a−3
q(x)=x
3
−2x
2
+a
⇒q(−2)=(−2)
3
−2(−2)
2
+a
⇒q(2)=−8−8+a
⇒A(2)=a−16
∴4a−3=a−16
Subtract a and add 3 both the sides we get,
4a−3−a+3=a−16−a+3
⇒3a=−13
Divided both side by 3 we get
a=−
3
13
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Answer:
the value of is 1 ..pls mark me as brainliests and follow me pls
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