CBSE Class 9 Maths Remainder Theorem

Discuss various algebraic operations on Polynomials. Learn the statement and application of the Remainder Theorem.

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Discuss various algebraic operations on Polynomials. Learn the statement a...

Discuss various algebraic operations on Polynomials. Learn the statement a...

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$i f space x to the power of 99 plus 99 space i s space d i v i d e d space b y space x plus 1 comma space t h e n space f i n d space t h e space r e m a i n d e r$
$I f space left parenthesis space x squared plus a x squared plus b x plus 6 right parenthesis space h a s space left parenthesis space x minus 2 right parenthesis space a s space a space f a c t o r space a n d space l e a v e s space a space r e m i a n d e r space 3 space w h e n space d i v i d e d space b y space left parenthesis x minus 3 right parenthesis space comma space t h e n space f i n d space t h e space v a l u e space o f space space a space space a n d space space b.$
Q-12 The polynomial $p left parenthesis x right parenthesis equals a x cubed minus 3 x squared plus 4 space a n d space space g left parenthesis x right parenthesis equals 2 x cubed minus 5 x to the power of blank plus a space space w h e n space d i v i d e d space b y space space left parenthesis x minus 2 right parenthesis space space a n d space space left parenthesis x minus 3 right parenthesis space l e a v e space t h e space r e m a i n d e r s space p space a n d space q space comma space r e s p e c t i v e l y.. space I f space p minus 2 q equals 4 comma space t h e space f i n d space t h e space v a l u e space o f space " a ". space$
Q-10 Let A and B be the remainders, when the polynomials $y cubed plus 2 space y squared minus 5 a y minus 7 space a n d space y cubed plus a y squared minus 12 y plus 6 space a r e space d i v i d e d space b y space left parenthesis y plus 1 right parenthesis space a n d space left parenthesis y minus 2 right parenthesis space right parenthesis space r e s p e c t i v e l y. space i f space 2 A space plus B equals 6 F i n d space t e space v a l u e space o f space space a ?$
Find the remaindee when P(x)= x^3+4x^2+5x+7 is divided by x+3
if 2x^3+ax^2+3x-5 is divided by x-2 the remainder is 5 then find a
Using Remainder Theorem, obtain the remainder when(i) p(x) = 2x⁴ - 3x³ + x² - x + 5 is divided by (x - 2)(ii) q(x) = 4x³ - 12x² + 14x - 3 is divided by (2x - 1)
Find remainder using Remainder theorem:(i) r(t) = t³ + 6t² + 2t - 2 is divided by (3t + 1)(ii) g(y) = y³ - 6y² + 2y - 4 is divided by (1 - 3y)
Check whether (i) The polynomial 2x⁴ - 5x³ - 2x + 5 is a multiple of x - 1.(ii) 7x² - 7x + 2x³ - 30 is a multiple of 2x + 5.
Using Remainder Theorem, prove that p(x) = 6x³ + 19x² + 21x + 9 is completely divisible by 2x + 3.

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