Question

if x-3 is a factor of ax^2+5x+12, Find a

Answer 1

Answer:

x-3=0

X=3

put the value

a×3^2+5×3+12=0

9a+15+12=0

9a=-15-12.

9a=-27

a=-27/9

a=-3

follow thanks me

Answer 2

Answer:

-3

Step-by-step explanation:

x-3 = 0

x = 3

p(x) = $ax^{2} + 5x + 12$ = 0

p(3) = $a(3)^{2} +5(3) + 12$ = 0

       = 9a + 15 + +12 = 0

       =  9a + 27 = 0

       = 9a = -27

       = a = $\frac{-27}{9}$

       = a = -3

therefore value of a is -3