Question

Which is the polynomial function of lowest degree with leading coefficient of 4 and roots 7 and 3?

Answer 1

Answer:

Step-by-step explanation:

If the roots are 7 and 3, then x = 7 and x = 3 are solutions. In factor form, x = 7 is (x - 7); in factor form, x = 3 is (x - 3). We FOIL these together to get

$x^2-3x-7x+21$ which simplifies to

$x^2-10x+21$ and we distribute in the 4:

$4(x^2-10x+21)$ to get

$4x^2-40x+84$ which is another way to write the last choice you're given.