wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

For what values of m will the expression y2+2xy+2x+my3 be capable of resolution into two rational factors?

Open in App
Solution

For a expression in the form ax2+by2+2hxy+2gx+2fy+c=0 to have two rational factors, then
∣ ∣ahghbfgfc∣ ∣=0
∣ ∣01111m1m3∣ ∣=0
1(3m)+1(m1)=0
m+3+m1=0
m=1

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon