Question

the perimeter of a triangle is represented by 3x² +8x-9. Two of its sides are represented by (x²+11x+5) and (-2x²-4x+2) What expression would represented the third side​

Answer 1

The third side has a length of 4x² + x - 16

Explanation:

We can solve this by taking the value given for the perimeter, and subtracting the values of the other two sides:

3x² + 8x - 9 - (x² + 11x + 5) - (-2x² - 4x + 2)

= 3x² + 8x - 9 - x² - 11x - 5 + 2x² + 4x - 2

= (3 - 1 + 2)x² + (8 - 11 + 4)x - (9 + 5 + 2)

= 4x² + x - 16