Maths-
General
Easy
Question
If the remainders of the polynomial
when divided by
and
are 7,3 then the remainder of
when devided by
is
- 3x+5
- 2x+7
- -2x+5
- 3x+7
Hint:
Dividend = Divisor
Quotient + remainder
f(x) = g(x)
q(x) + r(x)
The correct answer is: -2x+5
Dividend = Divisor
Quotient + remainder
f(x) = g(x)
q(x) + r(x)
f(x) = (x+1)
q1(x) + 7
f(-1) = 7
f(x) = (x-1)
q2(x) + 3
f(1) = 3
f(x) is divided with ![x squared space minus 1](data:image/png;base64,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)
Let remainder be ax + b and quotient be q3(x)
![f left parenthesis x right parenthesis space equals space left parenthesis x squared space minus space 1 squared right parenthesis space cross times space q 3 space left parenthesis x right parenthesis space plus space a x space plus space b
f left parenthesis x right parenthesis space equals space left parenthesis x space plus 1 right parenthesis left parenthesis x minus 1 right parenthesis space cross times q 3 left parenthesis x right parenthesis space plus space a x space plus space b
f left parenthesis negative 1 right parenthesis space equals space minus a space plus space b space equals space 7
f left parenthesis 1 right parenthesis space equals space a space plus space b space equals space 3
S o l v i n g space b o t h space t h e s e space e q u a t i o n s
b space equals space 5 space a n d space a space equals space minus 2
R e m a i n d e r space a x space plus space b space equals space minus 2 x space plus space 5](data:image/png;base64,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Maths-
If
then ![fraction numerator 1 over denominator left parenthesis a x plus b right parenthesis to the power of 2 end exponent left parenthesis c x plus d right parenthesis end fraction equals](data:image/png;base64,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)
If
then ![fraction numerator 1 over denominator left parenthesis a x plus b right parenthesis to the power of 2 end exponent left parenthesis c x plus d right parenthesis end fraction equals](data:image/png;base64,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)
Maths-General
Maths-
The partial fractions of
are
The partial fractions of
are
Maths-General
Maths-
The partial fractions of
are
The partial fractions of
are
Maths-General
Maths-
then ![A plus B minus C plus D equals](data:image/png;base64,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)
then ![A plus B minus C plus D equals](data:image/png;base64,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)
Maths-General
Maths-
The partial fractions of
are
The partial fractions of
are
Maths-General
Maths-
The partial fractions of
are
The partial fractions of
are
Maths-General
Maths-
If
then ![P left parenthesis x right parenthesis equals](data:image/png;base64,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)
If
then ![P left parenthesis x right parenthesis equals](data:image/png;base64,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)
Maths-General
Maths-
Let a,b,c such that
then ,
?
Let a,b,c such that
then ,
?
Maths-General
Maths-
If
then B=
If
then B=
Maths-General
Maths-
If the remainders of the polynomial f(x) when divided by
are 2,5 then the remainder of
when divided by
is
If the remainders of the polynomial f(x) when divided by
are 2,5 then the remainder of
when divided by
is
Maths-General
Maths-
Assertion :
can never become positive.
Reason : f(x) = sgn x is always a positive function.
Assertion :
can never become positive.
Reason : f(x) = sgn x is always a positive function.
Maths-General
Maths-
=
=
Maths-General
maths-
Evaluate
dx
Evaluate
dx
maths-General
maths-
If
. The integral of
with respect to
is -
If
. The integral of
with respect to
is -
maths-General
maths-
is
is
maths-General