If (x-2) is a zero of the polynomial is 2x^{2} + 3x-p find the value of p steps please
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ANSWER ::
The zero of the polynomial x - a is given by
x - 2 = 0
= 0So
x = 2
Let f(x) = 2x² + 3x - p
Now by the Remainder Theorem the Remainder is
f(2)
= 2×2² + 3× 2 - p
= 8 + 6 - p
= 14 - p
So 14 - p = 0
p = 14
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