Question

A polynomial is defined by f(x) = px^3 + 4x^2+x- 2,
has (x - 2) is a factor, the value of p is:

Answer 1

f(x) = px³ + 4x² + x - 2

g(x) = x - 2 = 0

=> x = 2

f(2) = p(2)³ + 4(2)² + 2 - 2 = 0

=> 8p + 16 =0

=> 8p = -16

=> p = -16/8

=> p = -2

Hope it helps........

Please mark as brainliest.......

Answer 2

p = -2

Let me explain,

x-2 is a factor of this cubic equation which made it extremely simple to solve.

just put x-2=0 , therefore, we get x = 2.

now just put x=2 in this equation.

=> (2)³p + 4(2)² + 2 - 2 = 0

= 8p + 16 = 0

= 8p = -16

= p = -16/8

= p = -2

As simple as that :)