Question

check whether x cube minus 4 x square + X + 1 is equal to (x minus 2)3 is a quadratic equation or not​

Answer 1

Answer:

$x^{3} -4x^{2} +x+1=(x-2)^{3}\\x^{3} -4x^{2} +x+1=x^{3} -8+12x-6x^{2} \\2x^{2} -11x+9=0$

Step-by-step explanation:

It is a quadratic equation. you can solve it by equation method

Answer 2

Answer:

Yes, it is

Step-by-step explanation:

Polynomial: x^3 - 4x^2 + x + 1 = (x - 2)^3

=> x^3 - 4x^2 + x + 1 = x^3 - 8 - 6x^2 + 12x

=> 6x^2 - 4x^2 - 12x + x + 1 + 8 = 0

=> 2x^2 - 11x + 9 = 0

Since degree = 2, it is a quadratic polynomial.

Roots:

2x^2 - 11x + 9 = 0

=> 2x^2 - 2x - 9x + 9 = 0

=> 2x(x - 1) - 9(x - 1) = 0

=> (2x - 9)(x - 1) = 0

=> 2x - 9 = 0 , x - 1 = 0

=> x = 9/2 , x = 1

Hope it Helps!!