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

Use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x).

f(x) = 2x39x2 + x + 12, g(x) = 3 - 2x

Open in App
Solution

f(x) = 2x39x2 + x + 12, g(x) = 3 - 2x

Let 3 - 2x = 0, then 2x = 3 x=32

Now, Remainder =f(32)

=2(32)39×(32)2+32+12

=2×2789×94+32+12

=274814+32+121

=2781+6+484=81814=04=0

Remainder = 0

(3-2x) is a factor of f(x)


flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Remainder Theorem
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon