Question

If are the zeros of the polynomial 25x 2 – 15x + 2 then form the polynomial whose zeros are 1 2 and 1 2​

Answer 1

Answer:

25x2 – 15x + 2

⇒ 25x2 – 10x – 5x + 2

⇒ 5x(5x – 2) – 1(5x – 2)

⇒ (5x – 1)(5x – 2)

⇒ x = 1/5 and 2/5

⇒ α and β will be equal to 1/5 and 2/5.

If zeros are (2α)-1 and (2β)-1

Then the zeros of that polynomial are 5/2 and 5/4

∴ Polynomial = (x – 5/2)(x – 5/4) = (x2 – 15x/4 + 25/8) = (8x2 – 30x + 25)

Answer 2

Answer:

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Step-by-step explanation:

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