Sign in
Please select an account to continue using cracku.in
↓ →
If $$x^{2}$$+3x-10is a factor of $$3x^{4}+2x^{3}-ax^{2}+bx-a+b-4$$ then the closest approximate values of a and b are
If $$x^{2}$$+3x-10is a factor of $$3x^{4}+2x^{3}-ax^{2}+bx-a+b-4$$
Then x = -5 and x = 2 will give $$3x^{4}+2x^{3}-ax^{2}+bx-a+b-4$$ = 0
Substituting x = -5 we get,
$$3(-5)^{4}+2(-5)^{3}-a(-5)^{2}+b(-5)-a+b-4 = 0$$
Solving we get,
$$26a+4b = 1621$$.......(i)
Substituting x = 2 we get,
$$3(2)^{4}+2(2)^{3}-a(2)^{2}+b(2)-a+b-4 =0$$
=> $$5a-3b = 60$$........(ii)
Solving i and ii we get
a and b $$\approx 52, 67$$
Hence, option C is the correct answer.
Create a FREE account and get:
Book Free CAT Mentorship
Get personalized CAT strategy from a 99%iler
500+ students mentored
OTP Verification
Enter the 6-digit code sent to your phone
Booking Summary
Enter OTP
Didn't receive the OTP?
Start your IIM journey with the right preparation and crack CAT 2026.
Educational materials for CAT preparation