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

Using factor theorem, show that g(x) is a factor of p(x), when
p(x) = 2x4 + x3 – 8x2 – x + 6, g(x) = 2x – 3

Open in App
Solution

Let:
px=2x4+x3-8x2-x+6
Here,
2x-3=0x=32
By the factor theorem, (2x - 3) is a factor of the given polynomial if p32=0.
Thus, we have:

p32=2×324+323-8×322-32+6 =818+278-18-32+6 =0
Hence, (2x - 3) is a factor of the given polynomial.

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