Question

Verify the relation between the zeroes and the coefficients of the quadratic polynomial $4 x^{2} - 9$ .

Approach

Zeroes are $\frac{3}{2}$ and $- \frac{3}{2}$ . Sum = 0 = $- \frac{0}{4}$ (coefficient of $x$ over coefficient of $x^{2}$ ). Product = $- \frac{9}{4}$ (constant over coefficient of $x^{2}$ ). Verified.

Step-by-step working

1
Zeroes of $4 x^{2} - 9$ are $\frac{3}{2}, - \frac{3}{2}$
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2
Sum = 0 = $- \frac{Coefficient of x}{Coefficient of x ^{2}}$ ; Product = $- \frac{9}{4} = \frac{Constant term}{Coefficient of x ^{2}}$
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Concepts used

quadratic polynomialzeroessum and product

Approach

Step-by-step working

Concepts used

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