plz ans fast i need urgently ques no.10
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x^4 + x^3 + 8x^2 + ax + b
is divisible by
x^2 + 1 (Divisor)
Hence set the given expression to fit the expression of the Divisor
x^4 + x^3 + 8x^2 + ax + b
x^4 + x^2 + x^3 + ax + 7x^2 + b
As you can see I have paired up the terms to fit the divisor.
x^2(x^2 + 1) + x (x^2 + a) + 7 (x^2 + b/7)
Now the terms in the brackets must be equal to each other.
x^2 +1 = x^2 + a = x^2 + b/7
1 = a = b/7
a = 1
b = 7
is divisible by
x^2 + 1 (Divisor)
Hence set the given expression to fit the expression of the Divisor
x^4 + x^3 + 8x^2 + ax + b
x^4 + x^2 + x^3 + ax + 7x^2 + b
As you can see I have paired up the terms to fit the divisor.
x^2(x^2 + 1) + x (x^2 + a) + 7 (x^2 + b/7)
Now the terms in the brackets must be equal to each other.
x^2 +1 = x^2 + a = x^2 + b/7
1 = a = b/7
a = 1
b = 7
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