Question

Write the quadratic equation whose roots are -1 and -4, and whose leading coefficient is 4. (Use the letter x to represent the variable.)

Answer 1

Answer:

 4x² + 20x + 16 = 0

Step-by-step explanation:

Quadratic equation:

       (leading coefficient) * [x² - (sum of roots)*x + product of roots] = 0

4* [x² - ( -1 -4)x + (-1)*(-4) ] = 0

          4*[ x² - (-5)x + 4]     = 0

               4 * [x² + 5x + 4] = 0

            4*x² + 4*5x + 4*4 = 0

               4x² + 20x +  16  = 0