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Polynomials

Question 1:

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.

Answer:

The value of is zero when x − 4 = 0 or x + 2 = 0, i.e., when x = 4 or x = −2

Therefore, the zeroes of are 4 and −2.

Sum of zeroes =

Product of zeroes

The value of 4s2 − 4s + 1 is zero when 2s − 1 = 0, i.e.,

Therefore, the zeroes of 4s2 − 4s + 1 areand.

Sum of zeroes =

Product of zeroes

The value of 6x2 − 3 ...

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