if 3 is a zero of the quadratic polynomial x²-5x+c what is the value of c.?
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We find the zeroes of a polynomial p(x) using p(x)=0.
Here, p(x)=x
2
−2.
Then, p(x)=0
⟹ x
2
−2=0
⟹ x
2
=2
⟹ x=±
2
That is, x=
2
,x=−
2
.
Hence, the zeroes of p(x)=x
2
−2 are ±
2
.
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