4x square - 3x-1 find the zeroes of the following quardratic polynomials and verify the relationship between the zeroes and the cofficients
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Step-by-step explanation:
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Answer:
Zeroes = 1,-1/4
Step-by-step explanation:
P(x) = 4x² - 3x - 1
⇒ 4x² - 3x - 1 = 0
⇒ 4x² - 4x + x - 1 = 0
⇒ 4x ( x - 1 ) + 1 ( x - 1 ) = 0
⇒( 4x + 1 )( x - 1 ) = 0
⇒ x = -1/4 , 1
Sum of zeroes = -b/a
⇒ 1 - 1/4 = -(-3/4)
⇒ 4 - 1 / 4 = 3/4
⇒ 3/4 = 3/4
Product of zeroes = c/a
⇒ (1)(-1/4) = -1/4
⇒ -1/4 = -1/4
Hence verified.
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