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

4x² + 20x + 16 = 0

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