Write the quadratic equation whose roots are −3 and −4, and whose leading coefficient is 4.

Answer 1

Step 1: Write out the quadratic expression with a leading coefficient of 1 and whose roots are -3 and -4

(x+3)*(x+4) = 0

x²+7x+12 = 0

Step 2: Take one of the two root expression (let's use x+3) and multiply it by 4 to make the leading coefficient 4 while maintaining the root of -3. Then write out the quadratic expression.

(4x+12)*(x+4)

4x²+28x+48

Note that this is just the first equation multiplied by 4. This still maintains the roots.