Question

If x-2 is a factor of x3- 3x +5a then find the value of a

Answer 1

Answer:

=> a = -2/5

Step-by-step explanation:

➡x³ - 3x +5a =0.....(1)

[ if x-2 is factor of equations (1) .]

so, x = 2 exits this equations

↪ (2)³-3×2 +5a=0

↪8 -6 +5a =0

↪ 5a = -2

↪a = -2/5

Answer 2

$\huge{\mathcal{\boxed{\blue{Solution}}}}$

$x {}^{3} - 3x + 5a = 0 \\ (2) {}^{3} - 3(2) + 5a = 0 \\ 8 - 6 + 5a = 0 \\ 2 + 5a = 0 \\ 5a = - 2$

$\huge{\mathcal{\boxed{\orange{a=-2/5}}}}$