Question

find a quadratic polynomials the sum and product of whose zeros are 1by4 and -1 respectively
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Answer 1

Answer:

4x²-x-4

Step-by-step explanation:

α+β=1/4, αβ=(-1)

Quadratic polynomial

=x²-(α+β)x+αβ

=x²-x/4+(-1)

=x²-x/4-1

Multiply each term by 4

=x²×4-x/4×4-1×4

=4x²-x-4