Question

Polynomials are everywhere. It is found in the slope of a hill, the curve of a bridge or the continuity of a mountain range.

Based on the given information, answer the following question.

Find a quadratic polynomial for the bridge if 6 is the sum and 8 is the product of its zeroes.

• A. $x^2+6x+8$
• B. $x^2-6x+8$
  
• C. $x^2+6x-8$
• D. $x^2-6x-8$

Answer 1

The correct option is B $x^2-6x+8$


To find: A quadratic polynomial whose sum is6 and the product is 8.

We know that, the general quadratic equation can be written as $x^2-\text{(Sum of zeroes)}x+\text{(Product of zeroes)}$

Given: Sum of zeroes = 6
Product of zeroes = 8

Hence, the required polynomial $=x^2-6x+8$