Find the zeroes of the quadratic polynomial the
x² + 8x + 16 and verify the relationship between the zero and the coefficient.
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Step-by-step explanation:
Let f(x) = ˗ 2x ˗ 8
= ˗ 4x + 2x ˗ 8 (MIDDLE TERM)
= x(x ˗ 4) + 2(x ˗ 4)
= (x ˗ 4) (x + 2)
To find the zeroes, set f(x) = 0,
then either (x ˗ 4) = 0 or (x+2) = 0
⇒ x = 4 or x = -2
Again, Sum of zeroes = (4 – 2) = 2 = 2/1 = -b/a =
(-Coefficient of x)/(Coefficient of x2)
Product of zeroes = (4) (-2) = -8/1 = c/a
⇒ (Constant term)/( Coefficient of x2)
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