Question

3. If a and B are zeroes of the quadratic
polynomial x2 - 3x + 2, find a quadratic
polynomial whose zeroes are 2a + B and
2B + a.​

Answer 1

Answer:

your answer is in the attachment

hope it helps you

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Answer 2

Answer:

The polynomial would be = x^2-9x + 20

Step-by-step explanation:

ATQ,

A and B are the zeroes of the quadratic polynomial x^2 - 3x  + 2

Splitting the middle term, we get,

x^2  - x - 2x +2

Therefore x(x  -1)  -2(x  - 1)

Thus, ( x - 2)(x - 1)

Therefore, a  = 2 and B  = 1

From the question,

2a  + B = 4,

2B  + a = 5.

Thus, the factors are;   (x - 4)(x - 5) and multiplying we get,

x^2  - 9x  + 20.

HOPE THIS HELPS YOU...