If (x - 2) and (x - 1/2) are factors of px² + 5x + r, then show that p = r

Answers (1)

f(x) = px² + 5x + r

f(2) = 4p + 5x2 + r =0

4p+r+10 =0 ...(i)

f(1/2) = p/4 + 5/2 + r =0

p+4r+10 =0...(ii)

Equation (i) - Equation(ii)

3p-3r=0

p=r

Hence Proved 

Preparation Products

Knockout NEET Sept 2020

An exhaustive E-learning program for the complete preparation of NEET..

₹ 15999/- ₹ 6999/-
Buy Now
Rank Booster NEET 2020

This course will help student to be better prepared and study in the right direction for NEET..

₹ 9999/- ₹ 4999/-
Buy Now
Knockout JEE Main Sept 2020

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 12999/- ₹ 6999/-
Buy Now
Test Series NEET Sept 2020

Take chapter-wise, subject-wise and Complete syllabus mock tests and get in depth analysis of your test..

₹ 4999/- ₹ 2999/-
Buy Now
Knockout NEET May 2021

An exhaustive E-learning program for the complete preparation of NEET..

₹ 22999/- ₹ 11999/-
Buy Now
Exams
Articles
Questions