Question

help me solve these questions..​

Answer 1

4s2 – 4s + 1

We have p(s) = 4s2 – 4s + 1

= 4s2 – 2s – 2s + 1 = 2S (2S – 1) –1 (2s – 1)

= (2s – 1) (2s – 1)

For p(s) = 0, we have, (refer to the image)

3x2 – x – 4

We have,

f(x) = 3x2 – x – 4 = 3x2 + 3x – 4x – 4

= 3x (x + 1) –4 (x + 1)

= (x + 1) (3x – 4)

For f(x) = 0 ⇒ (x + 1) (3x – 4) = 0

Either (x + 1) = 0 ⇒ x = – 1