Request a call back

For which values of a and b, are the zeroes of q(x) = x(cube)+2x(sq)+a also the zeroes of the polynomial p(x) = x(power 5)-x(power 4)-4x(cube)+ 3x(sq)+3x+b? Which zeroes of p(x) are not the zeroes of q(x)?
Asked by Srishti Mallick | 15 Sep, 2013, 10:46: AM

Thus, we have:
p(x) = (x² - 3x + 2).q(x)
and thus would the roots of q(x) will also be roots of p(x).

And the roots of p(x) that are not roots of q(x) are evidently the roots of:
x² - 3x + 2 = 0
x² - 2x - x + 2 = 0
x(x - 2) - (x - 2) = 0
(x - 2)(x - 1) = 0
And they are x=1 or x=2
Answered by | 16 Sep, 2013, 09:43: AM

## Application Videos

CBSE 10 - Maths
Asked by navneetpra499 | 19 Jul, 2022, 05:06: AM
CBSE 10 - Maths
Asked by vangasathwikreddy3 | 13 Jul, 2022, 10:50: AM
CBSE 10 - Maths
Asked by ravindar.sanka123 | 07 Jul, 2022, 01:30: PM
CBSE 10 - Maths
CBSE 10 - Maths
Asked by hr31448 | 01 Jun, 2022, 07:33: AM
CBSE 10 - Maths
Asked by priyankakiran2017 | 18 May, 2022, 04:06: PM
CBSE 10 - Maths
Asked by anuragtikekar2006 | 07 May, 2022, 06:33: PM