Question

Find the value of a for which (x-4) is a factor of
(2-3x - 18x + a)​

Answer 1

$p(x) = x - 4 \\ x - 4 = 0 \\ x = 4$

$p(x) = 2 - 3x - 18x + a \\ p(4) = 2 - (3 \times 4) - (18 \times 4) + a \\ 2 - 12 - 72 + a = 0 \\ - 10 - 72 + a = 0 \\ - 82 + a = 0 \\ a = 82$

Answer 2

Answer:

maybe I am correct

Step-by-step explanation:

p(x)=x−4

x−4=0

x=4

\begin{gathered}p(x) = 2 - 3x - 18x + a \\ p(4) = 2 - (3 \times 4) - (18 \times 4) + a \\ 2 - 12 - 72 + a = 0 \\ - 10 - 72 + a = 0 \\ - 82 + a = 0 \\ a = 82\end{gathered}

p(x)=2−3x−18x+a

p(4)=2−(3×4)−(18×4)+a

2−12−72+a=0

−10−72+a=0

−82+a=0

a=82