The product of the zeros of the polynomial x³ + 4x² + x − 6
Video Explanation
Watch the video explanation below:
Given
f(x) = x³ + 4x² + x − 6
To Find
The product of the zeros of the given polynomial.
Solution
For a cubic polynomial of the form:
ax³ + bx² + cx + d
Product of zeros = −d / a
Step 1: Identify a and d
Comparing f(x) = x³ + 4x² + x − 6 with ax³ + bx² + cx + d,
a = 1, d = −6
Step 2: Find the Product of Zeros
Product of zeros = −(−6)/1
= 6
Final Answer
The product of the zeros is:
6
Correct Option
(c) 6
Conclusion
Hence, the product of the zeros of the polynomial x³ + 4x² + x − 6 is 6.