If the HCF of the polynomials \( x^{3}+p x+q \) and \( x^{3} \) (W) \( +r x^{2}+l x+x \) is \( x...

Channel:
PW Solutions
Subscribers:
456,000
Published on ● Video Link: https://www.youtube.com/watch?v=WDPPesjZnI8


Duration: 3:46
3 views
0

If the HCF of the polynomials \( x^{3}+p x+q \) and \( x^{3} \)
(W) \( +r x^{2}+l x+x \) is \( x^{2}+a x+b \), then their LCM is \( (r \neq 0) \)
(a) \( \left(x^{2}+a x+b\right)(x+a)(x+a-r) \)
(b) \( \left(x^{2}+a x+b\right)(x-a)(x-a+r) \)
(c) \( \left(x^{2}+a x+b\right)(x-a)(x-a-r) \)
(d) \( \left(x^{2}-a x+b\right)(x-a)(x-a+r) \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2023-01-16The LCM of the polynomials \( (x+3)^{2}(x-2) \) \( (x+1)^{2} \) and \( (x+1)^{3}(x+3)\left(x^{2}...
2023-01-16Simplify: \[ \begin{array}{l} \frac{8 x^{3}-y^{3}+z^{3}+6 x y z}{a^{3}-8 b^{3}+27 c^{3}+18 a b c...
2023-01-16The LCM of the polynomials \( 12\left(x^{3}+27\right) \) and \( 18\left(x^{2}-9\right) \) is (a)...
2023-01-16The rational expression \( \frac{x^{2}+2 x+3}{x^{4}+4 x^{3}+4 x^{2}-9} \) in its lowest terms is...
2023-01-16The HCF of the polynomials \( 5\left(x^{2}-16\right)(x+8) \) and \( 10\left(x^{2}-64\right)(x+4)...
2023-01-16Find the LCM of \( p^{4} q^{2} r^{3} \) and \( q^{3} p^{6} r^{5} \). (a) \( p^{4} q^{3} r^{3} \)...
2023-01-16The HCF of the polynomials \( 12(x+2)^{3} \) (W) \( \left(x^{2}-7 x+10\right) \) and \( 18\left(...
2023-01-16Find the HCF of \( 6 x^{4} y \) and \( 12 x y \). (a) \( 6 x^{2} y \) (b) \( 6 x \) (c) \( 6 y \...
2023-01-16If the HCF of the polynomials \( (x-3) \) \( \left(3 x^{2}+10 x+b\right) \) and \( (3 x-2)\left(...
2023-01-16The HCF of the polynomials \( \left(x^{2}-4 x+4\right)(x+3) \) and \( \left(x^{2}+2 x-3\right)(x...
2023-01-16If the HCF of the polynomials \( x^{3}+p x+q \) and \( x^{3} \) (W) \( +r x^{2}+l x+x \) is \( x...
2023-01-16P The HCF of two polynomials \( p(x) \) and \( q(x) \) using long division method was found to b...
2023-01-16If \( x^{2}+x-1 \) is a factor of \( x^{4}+p x^{3}+q x^{2}-1 \), then the values of \( p \) and ...
2023-01-16If the LCM of the polynomials \( x^{9}+x^{6}+x^{3}+1 \) and \( x^{6}-1 \) is \( x^{12}-1 \), the...
2023-01-16Simplify: \( \frac{x+1}{x-1}+\frac{x-1}{x+1}-\frac{2 x^{2}-2}{x^{2}+1} \). (a) \( \frac{4 x^{4}+...
2023-01-16If LCM of the two polynomials \( \left(x^{2}+3 x\right) \) \( \left(x^{2}+3 x+2\right) \) and \(...
2023-01-16If the HCF of the polynomials \( x^{2}+p x+q \) and \( x^{2} \) \( +a x+b \) is \( x+l \), then ...
2023-01-16If the zeroes of the rational expression \( (a x+b) \) (IV \( (3 x+2) \) are \( \frac{-2}{3} \) ...
2023-01-16Simplify: \[ \frac{x^{2}-(y-2 z)^{2}}{x-y+2 z}+\frac{y^{2}-(2 x-z)^{2}}{y+2 x-z}+\frac{z^{2}-(x-...
2023-01-16If the HCF of the polynomials \( (x+4)\left(2 x^{2}+5 x+\right. \) a) and \( (x+3)\left(x^{2}+7 ...
2023-01-16The HCF and LCM of the polynomials \( p(x) \) and \( q(x) \) are \( 5(x-2)(x+9) \) and \( 10\lef...