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

Find the sum (s) and product (p) of zeros of the polynomial x23x5 by using those value S and P as zeros write another quadratic polynomial ?

Open in App
Solution

Given the polynomial x23x5
For solving we have to make it a zero,
x23x5=0
Now, by formula,
x=(3)±(3)241(5)21=3±9+202=3±292x=3+292,3292
Sum of the roots, (S)=3+292+3292=3+29+3292=62=3
and product of the roots, (P)=(3+292)×(3292)=9294=204=5
Now, using S and P as zeros we have,
x=3x3=0
and x=5x+5=0
the required polynomial is,
(x3)(x+5)=x2+2x15.

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