For what values of \( a \) and \( b \), the expression \( x^{4}+ \) (VI) \( 4 x^{3}+a x^{2}-b x+...

Channel:
Subscribers:
451,000
Published on ● Video Link: https://www.youtube.com/watch?v=xzZ06CrnO0M



Duration: 7:05
1 views
0


For what values of \( a \) and \( b \), the expression \( x^{4}+ \)
(VI) \( 4 x^{3}+a x^{2}-b x+3 \) is a multiple of \( x^{2}-1 \) ?
(a) \( a=1, b=7 \)
(b) \( a=4, b=-4 \)
(c) \( a=3, b=-5 \)
(d) \( a=-4, b=4 \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-01-16\( 3 x-4 \) is a factor of (a) \( 18 x^{4}-3 x^{3}-28 x^{2}-3 x+4 \) (b) \( 3 x^{4}-10 x^{3}-7 x...
2023-01-16For what values of \( m \) and \( n \), the expression \( 2 x^{2} \) \( -(m+n) x+2 n \) is exact...
2023-01-16If \( p-q \) is a factor of the polynomial \( p^{n}-q^{n} \), then (W) \( n \) is (a) a prime nu...
2023-01-16If \( (x-2)^{2} \) is a factor of \( f(x)=x^{3}+p x+q \), then find the remainder when \( f(x) \...
2023-01-16If \( (x-p) \) and \( (x-q) \) are the factors of \( x^{2}+p x+q \), then the values of \( p \) ...
2023-01-16Let \( f\left(x-\frac{1}{x}\right)=x^{2}+\frac{1}{x^{2}} \), find the remainder when \( f(x) \) ...
2023-01-16When the polynomial \( f(x)=a x^{2}+b x+c \) is divided by \( x, x-2 \) and \( x+3 \), remainder...
2023-01-16If \( f(x+1)=2 x^{2}+7 x+5 \), then one of the factors of \( f(x) \) is (a) \( 2 x+3 \) (b) \( 2...
2023-01-16The remainder when \( x^{45}+x^{25}+x^{14}+x^{9}+x \) divided by \( x^{2}-1 \) is (a) \( 4 x-1 \...
2023-01-16When the polynomial \( p(x)=a x^{2}+b x+c \) is divided (VI) by \( (x-1) \) and \( (x+1) \), the...
2023-01-16For what values of \( a \) and \( b \), the expression \( x^{4}+ \) (VI) \( 4 x^{3}+a x^{2}-b x+...
2023-01-16Find the remainder when \( x^{5} \) is divided by \( x^{2}-9 \). (a) \( 81 x \) (b) \( 81 x+10 \...
2023-01-16If \( (x+3)^{2} \) is a factor of \( f(x)=e x^{3}+k x+6 \), then find the remainder obtained whe...
2023-01-16If \( (x+1) \) and \( (x-1) \) are the factors of \( a x^{3}+b x^{2} \) \( +c x+d \), then which...
2023-01-16If both the expressions \( x^{1215}-1 \) and \( x^{945}-1 \), are divisible by \( x^{n}-1 \), th...
2023-01-16When \( x^{3}+3 x^{2}+4 x+a \) is divided by \( (x+2) \), the remainder is zero. Find the value ...
2023-01-16Find the remainder when \( x^{29} \) is divided by \( x^{2}- \) \( 2 x-3 \).
2023-01-16If \( (x-2) \) is a factor of \( x^{2}+b x+1 \) (where \( b \in Q \) ), then find the remainder ...
2023-01-16Which of the following is a factor of \( 5 x^{20}+7 x^{15} \) \( +x^{9} \) ? (a) \( x^{20} \) (b...
2023-01-16The expression \( x^{m^{n}}+1 \) is divisible by \( x+1 \), only (IV if (a) \( n \) is odd. (b) ...
2023-01-16\( m_{1} \) तथा \( m_{2} \) द्रव्यमान वाले दो कणों में सीधी प्रत्यास्थ टक्कर होती है। कणों की प्...