CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

Statement 1: The polynomial P(x)=4x33x2+5x6 when divided by x1 gives zero as the remainder.

Statement 2: (x1) is a factor of the polynomial P(x)=4x33x2+5x6.


A

Both the statements are true and statement 2 is the correct explanation of statement 1.

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

Both the statements are true and statement 2 is not the correct explanation of statement 1.

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

Statement 1 is true and statement 2 is false.

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

Statement 1 is false and statement 2 is true.

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A

Both the statements are true and statement 2 is the correct explanation of statement 1.


According to factor theorem when a polynomial P(x) gives zero as the remainder when divided by (x – a), where ‘a’ is any real number, then (x – a) is the factor of the polynomial P(x).

For the given polynomial P(x)=4x33x2+5x6
P(1)=4(1)33(1)2+5(1)6=0

Since P(1) = 0, (x-1) is a factor of P(x).

When P(x) is divided by (x-1), the remainder will be zero.

Thus, statement 2 is the correct explanation to statement 1.


flag
Suggest Corrections
thumbs-up
0
mid-banner-image
mid-banner-image
Join BYJU'S Learning Program
Select...
similar_icon
Related Videos
thumbnail
lock
Factorization of Polynomials
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
Select...