Question

Write the quadratic equation whose roots are
−4
and
−6
, and whose leading coefficient is
4
.

Answer 1

what

Answer 2

x = -4 and x = -6
so
x + 4 = 0 and x + 6 = 0
(x + 4)(x + 3) = 0
x^2 + 3x + 4x + 12 = 0
x^2 + x + 12 = 0

Multiplying by 4
4x^2 - 4x - 48 = 0

Answer 3

4x^2 + 4x + 48 = 0

Answer 4

well since the zeros are -4 and -6
then you quadratic function is written like this
\(\Large \color{midnightblue}{f(x)=a(x+6)(x+4)}\)
a is given to you to be 4
so
\(\Large \color{midnightblue}{f(x)=4(x+6)(x+4)}\)
you question didn't really as if we should write it in standard form
so i suppose you just leave that way

Answer 5

ask*