CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Assertion: If (x − 2) is a factor p(x) = x3 − 2x + 3k, then k=-43.
Reason: If p(x) is divided by (x − a), then the remainder is p(a).

(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true and but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

Open in App
Solution

(b) Both Assertion and Reason are true, but Reason is not a correct explanation of Assertion.

Assertion:
Let:
px=x3-2x+3k
Now,
x-2=0x=2
x-2 is a factor of px.p2=023-2×2+3k=08-4+3k=04+3k=0k=-43
Hence, Assertion is true.
Reason: If p(x) is divided by (x − a), then the remainder is p(a).
The given statement is true, but it is not correct explanation of Assertion.
Therefore, both Assertion and Reason are true, but Reason is not a correct explanation of Assertion.

flag
Suggest Corrections
thumbs-up
1
similar_icon
Similar questions
View More
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Binary Operations
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon