Question

Polynomials in Real Life

Polynomials are everywhere. It is found in a roller coaster of an amusement park, the slope of a hill, the curve of a bridge or the continuity of a mountain range. They play a key role in the study of algebra, in analysis and on the whole many mathematical problems involving them.

Based on the given information, answer the following question:

If the zeroes of the polynomial $p\left(t\right)=18t²+(3k-9)t+36$ are negative of each other, then find the value of $k$.

• A. 0
• B. 1
• C. 2
• D. 3

Answer 1

The correct option is D 3

When the zeroes are negative of each other, sum of the zeroes = 0

So, $-b/a=0$

$-(3k-9)/18=0$

$-3k+9=0$

$3k=9$

$k=3$

Therefore, option (d) is the correct answer.