Question

find the zeros of x = 2 x cube minus 3 X + 2​

Answer 1

Answer:

1, 2 are the zeroes of the polynomial x

3

−2x

2

−x+2

Step-by-step explanation:

Given the cubic polynomial

P(x)=x^3-2x^2-x+2P(x)=x

3

−2x

2

−x+2

we have to find the zeroes of the polynomial

P(x)=x^3-2x^2-x+2P(x)=x

3

−2x

2

−x+2

By hit and trial method put x=1

P(1)=1^3-2(1)^2-1+2P(1)=1

3

−2(1)

2

−1+2

p(1)1-2-1+2=0p(1)1−2−1+2=0

which implies (x-1) is the factor of given polynomial or 1 is the zero of polynomial.

By synthetic division shown in attachment

x^3-2x^2-x+2=(x-1)(x^2-x-2)x

3

−2x

2

−x+2=(x−1)(x

2

−x−2)

(x-1)(x^2-2x+x-2(x−1)(x

2

−2x+x−2

(x-1)(x(x-2)+1(x-2))(x−1)(x(x−2)+1(x−2))

(x-1)(x+1)(x-2)(x−1)(x+1)(x−2)

Hence, the zeroes of polynomial are

x-1=0 ⇒ x=1

x+1=0 ⇒ x=-1

x-2=0 ⇒ x=2

Answer 2

Answer:

answer is in pic .....

❤ i hope it will help u ❤