+91-8076753736[email protected]
logo
logo
-->

Coordinate Geometry

Question
CBSEENMA9001791
Wired Faculty App

Determine whether (3x — 2) is a factor of 3x3 + x2 - 20x + 12?

Solution

Let p(x) = 3x3 + x2 - 20x + 12
We see that
straight P open parentheses 2 over 3 close parentheses equals 3 open parentheses 2 over 3 close parentheses cubed plus open parentheses 2 over 3 close parentheses squared minus 20 open parentheses 2 over 3 close parentheses plus 12 space space space space space space space space left enclose space space space 3 straight x minus 2 end enclose space equals space 0 space space space space space rightwards double arrow space straight x space 2 over 3 space space space space space space equals 8 over 9 plus 4 over 9 minus 40 over 3 plus 12 space space space space space space equals space 0
Hence by converse of factor theorem, (3x - 2) is a factor of p(x).

Some More Questions From Coordinate Geometry Chapter

Find the value of n, given (81)5/n = 243.

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.

4x2 - 3x + 7

Mock Test Series

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation