Write the quadratic equation whose roots are -1 and , 5 whose leading coefficient is 2 . (Use the letter to represent the variable.)

Answer 1

roots -1 and 5 means factors (x+1) and (x-5). Just take the root, change its sign and stick an x in front to get the factors

their product is x^2-4x-5

to get a leading coefficient of 2, multiply by 2

2x^2 - 8x -10 is the polynomial with roots -1, and 5, with leading coefficient 2