If \( (x+1) \) and \( (x-1) \) are the factors of \( x^{3}+a x^{2} \) Qu \( -b x-2 \), then find...

Channel:
Subscribers:
449,000
Published on ● Video Link: https://www.youtube.com/watch?v=SDbA3BwGZ2Y



Duration: 10:17
1 views
0


If \( (x+1) \) and \( (x-1) \) are the factors of \( x^{3}+a x^{2} \)
Qu
\( -b x-2 \), then find the other factor of the given polynomial.

The following are the steps involved in solving the problem given above. Arrange them in the sequential order.
(A) Put \( x=1 \) and \( x=-1 \) in the given polynomial and obtain the equations in \( a \) and \( b \).
(B) Substitute \( a \) and \( b \) in the given polynomial.
(C) Factorize the polynomial.
(D) Solve the equations in \( a \) and \( b \).
(a) ADCB
(b) \( \mathrm{ADBC} \)
(c) \( \mathrm{ABCD} \)
ЁЯУ▓PW App Link - https://bit.ly/YTAI_PWAP
ЁЯМРPW Website - https://www.pw.live




Other Videos By PW Solutions


2023-01-16If the expression \( x^{2}+3 x-3 \), is divided by \( (x-p) \), then it leaves remainder 1 . Fin...
2023-01-16If \( 6 x^{2}-3 x-1 \) is a factor of \( a x^{3}+b x-1 \) (where \( a, b \) are integers), then ...
2023-01-16The ratio of the remainders when the expression (W) \( x^{2}+b x+c \) is divided by \( (x-3) \) ...
2023-01-16рдкреНрд░рд╛рд░рдВрдн рдореЗрдВ рд╡рд┐рд░рд╛рдорд╛рд╡рд╕реНрдерд╛ рдореЗрдВ рд╕реНрдерд┐рдд рдПрдХ рдиреНрдпреВрдЯреНрд░реЙрди рд╡рд┐рдЦрдВрдбрд┐рдд рд╣реЛрдХрд░ рдПрдХ рдкреНрд░реЛрдЯреЙрди, рдПрдХ рдЗрд▓реЗрдХреНрдЯреНрд░реЙрди рдПрд╡рдВ рдПрдХ ant...
2023-01-16If the polynomials \( f(x)=x^{2}+6 x+p \) and \( g(x)= \) \( x^{2}+7 x+q \) have a common factor...
2023-01-16Find the remainder when \( x^{33} \) is divided by \( x^{2}- \) \( 3 x-4 \). (V) (a) \( \left(\f...
2023-01-16Which of the following is a factor of \( x^{3}+3 p x^{2}- \) \( 3 p q x-q^{3} \) ? (where \( p \...
2023-01-16The following are the steps involved in finding the value of \( a \) when \( x-2 \) is a factor ...
2023-01-16If \( p x^{3}+q x^{2}+r x+s \) is exactly divisible by \( x^{2}- \) (W) 1 , then which of the fo...
2023-01-16If \( a x^{4}+b x^{3}+c x^{2}+d x \) is exactly divisible by \( x^{2}- \) \( 4, \operatorname{th...
2023-01-16If \( (x+1) \) and \( (x-1) \) are the factors of \( x^{3}+a x^{2} \) Qu \( -b x-2 \), then find...
2023-01-16A polynomial \( f(x) \) when divided by \( (x-5) \) and \( (x-7) \) leaves remainders 6 and 16, ...
2023-01-16If \( x^{2}+x+1 \) is a factor of \( x^{4}+a x^{2}+b \), then the values of \( a \) and \( b \),...
2023-01-16The leading coefficient of a polynomial \( f(x) \) of (V) degree 3 is 2006. Suppose that \( f(1)...
2023-01-16If \( f(x)=x^{2}+5 x+a \) and \( g(x)=x^{2}+6 x+b \) have a common factor, then which of the fol...
2023-01-16If \( x^{3}-a x^{2}+b x-6 \) is exactly divisible by \( x^{2}-5 x \) \( +6 \), then \( \frac{a}{...
2023-01-16A polynomial \( p(x) \) leaves remainders 75 and 15, respectively, when divided by \( (x-1) \) a...
2023-01-16рд╕реНрдерд┐рд░рд╛рдВрдХ \( k \) рд╡рд╛рд▓реЗ рдПрдХ рд╕реНрдкреНрд░рд┐рдВрдЧ рджреНрд╡рд╛рд░рд╛ рд▓рдЯрдХреА рджреНрд░рд╡реНрдпрдорд╛рди \( m \) рдХреА рд╡рд╕реНрддреБ рдХреЛ рдмрд╛рд╣рд░реА рдЖрд╡рд░реНрддреЛ рдмрд▓ \( F...
2023-01-16The ratio of the remainders when the expression \( x^{2}+a x+b \) is divided by \( (x-2) \) and ...
2023-01-16Find the values of \( m \) and \( n \), if \( (x-m) \) and \( (x-n) \) are the factors of the ex...
2023-01-16A quadratic polynomial in \( x \) leaves remainders 4 , 4 and 0 , respectively when divided by \...