why are ¼and-1 zeroes of the polynomials p(x)=4x²+3x-1
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Answer:
let p(x) = 1/4
Explanation:
p(x) = 4x2 + 3x-1
p(1/4) = 4(1/4)2 + 3(1/4) -1
= 4(1/16) + 3(1/4) -1
= 1/4 + 3/4 -1
= 1+3/4 - 1
=1 - 1
=0
let p(x) be -1
p(x)= 4x2 + 3x - 1
p(-1)=4(-1)2+3(-1) -1
= 4(1) -3 -1
= 4 - 3 - 1
= 1 - 1
= 0
Therefore 1/4 and -1 are the zeroes of the polynomial.
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