Question

find the zeroes for the following quadratic polynomial 4x²-3x-1 solve.


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Answer 1

• 4x² - 3x - 1

• 4x² - 4x + x - 1

• 4x(x-1) +1(x-1)

• (4x+1) (x-1)

Answer 2

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$\huge\bf{Question:-}$

Find the zeroes of the polynomial 4x²-3x-1 and verify the relationship between the zeroes and the coefficients of the polynomial.

$\huge\bf{Answer:-}$

4x² - 3x - 1

→ 4x² - 4x + x - 1

→ 4x (x - 1) + (x - 1)

→ (4x + 1)(x - 1)

→ 4x + 1 = 0 or x - 1 = 0

→ x = -1/4 or x = 1

Sum of zeroes = 1 - 1/4 = 3/4

Product of zeroes = 1(-1/4) = -1/4

Hence verified.

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