Q

# Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. 4u ^2 + 8 u

Q1 (4)   Find the zeroes of the following quadratic polynomials and verify the relationship between
the zeroes and the coefficients.$4 u^2 + 8u$

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4u2 + 8u = 0

4u(u + 2) = 0

The zeroes of the given quadratic polynomial are 0 and -2

$\\\alpha =0\\ \beta =-2$

VERIFICATION

Sum of roots:

$\\\alpha +\beta =0+(-2)=-2$

$\\-\frac{coefficient\ of\ x}{coefficient\ of\ x^{2}}\\ =-\frac{8}{4}\\ =-2\\=\alpha +\beta$

Verified

Product of roots:

$\alpha \beta =0\times-2=0$

$\\\frac{constant\ term}{coefficient\ of\ x^{2}}\\ =\frac{0}{4}\\=0\\ =\alpha \beta$

Verified

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