Question

if X+1/X = t , then for polynomial x⁴-4x³+6x²-4x+1=0.Which of the following is correct a) t²-4t+4=0b b) t²-4t+6=0 c) t²=1 d)None ​

Answer 1

Answer:

I will advise you to to put the value of tea in place of each option if you will understand then it will easier for you

Answer 2

Step-by-step explanation:

(i) x2 – 2x – 8

We have p(x) = x2 – 2x – 8

= x2 + 2x – 4x – 8 = x (x + 2) – 4 (x + 2)

= (x – 4) (x + 2)

For p(x) = 0, we have

(x – 4) (x + 2) = 0

Either x – 4 = 0 ⇒ x = 4

or x + 2 = 0 ⇒ x = – 2

∴ The zeroes of x2 2x – 8 are 4 and –2.

Now, sum of the zeroes

Thus, relationship between zeroes and the coefficients in x2 – 2x – 8 is verified.