Solve the following question of Maths .polynomials class 10
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8x^4+14x^3–2x^2+ax+b
=2x^2(4x^2+3x-2)+8x^3+2x^2+ax+b
=2x^2(4x^2+3x-2)+2x(4x^2+3x-2)-4x^2+4x+ax+b
=2x^2(4x^2+3x-2)+2x(4x^2+3x-2)-[4x^2-(4+a)x-b]
f(x) is exactly divisible by g(x) , therefore
g(x)=4x^2-(4+a)x-b
4x^2+3x-2=4x^2-(4+a)x-b
or 3x-2= -(4+a)x-b , equating both sides the
coeff. of x and constant term.
3=-(4+a)
3=-4-a
a=-4–3
a= -7 ,Answer
-2=-b
b=2 , Answer
=2x^2(4x^2+3x-2)+8x^3+2x^2+ax+b
=2x^2(4x^2+3x-2)+2x(4x^2+3x-2)-4x^2+4x+ax+b
=2x^2(4x^2+3x-2)+2x(4x^2+3x-2)-[4x^2-(4+a)x-b]
f(x) is exactly divisible by g(x) , therefore
g(x)=4x^2-(4+a)x-b
4x^2+3x-2=4x^2-(4+a)x-b
or 3x-2= -(4+a)x-b , equating both sides the
coeff. of x and constant term.
3=-(4+a)
3=-4-a
a=-4–3
a= -7 ,Answer
-2=-b
b=2 , Answer
NobitaNobi6:
How it can solved by long division method?
it's quite difficult
Can you solve please}?
i will try
sorry brother I can't solve this by long division method
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