Question

Write the polynomial, if its zeros are -9/2 and -3/2 respectively

Answer 1

Answer:

4x2 +24x +27

Step-by-step explanation:

α₊β=-9/2 + -3/2=-12/2

αβ= -9/2 × -3/2 = 27/4

polynomial = x2 - (α+β)x + αβ=x2 - (-12/2)x + 27/4=x2 +12/2x +27/4

by diving with 4,

4x2 + 24x + 27÷4=1/4(4x2 + 24x + 27)

taking 1/4 common

therefore the polynomial is 4x2 + 24x + 27

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