Question

answer this question and help me with the question​

Answer 1

Answer:

p (x) = 2x3 + x2 - 5x + 2

Now if we take x = 1/2 then

p(1/2) = 2 × (1/2)3 + (1/2)2 - 5 × 1/2 + 2

= 2 × 1/8 + 1/4 - 5/2 + 2

= 1/4 + 1/4 - 5/2 + 2

= 1/4 + 1/4 - 10/4 + 4/4

= -4/4

= -1

Now taking p(x) = 1

p(x) = 2 × (1)3 + (1)2 - 5 × 1 + 2

= 2 + 1 -5 + 2

= 3 - 5 + 2

= -2 + 2

= 0

Now taking p(×) = -2

p(x) = 2 × (-2)3 + (-2)2 - 5 × (-2) + 2

= 2 × (-8 ) + (-4) - ( 10 ) + 2

= -16 + 4 -10 + 2

= -12 -10 +2

= 0

Hence proved that -2 and 1 are the zeroes of the equation 2x3 + x2 - 5x + 2

Hope so the above answer will be helpful to u