Question

Find the sum and product of zeros of the following polynomials -

1. x^2+10x+24

2. -5x^2+3x+4

3. 2x^2-7x-9​

Answer 1

Answer:

Explanation:

If ax² + bx + c = 0, then

$x_{1}$ + $x_{2}$ = - $\frac{b}{a}$

$x_{1}$ × $x_{2}$ = $\frac{c}{a}$

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1). x² + 10x + 24

$x_{1}$ = - 4 and $x_{2}$ = - 6

$x_{1}$ + $x_{2}$ = - (- 4 - 6) = 10

$x_{1}$ × $x_{2}$ = (- 4) × (- 6) =  24

2). - 5x² + 3x + 4

$x_{1}$ + $x_{2}$ = $\frac{3}{5}$

$x_{1}$ × $x_{2}$ = - $\frac{4}{5}$

3). 2x² - 7x  - 9

$x_{1}$ = $\frac{9}{2}$ and $x_{2}$ = - 1

$x_{1}$ + $x_{2}$ = - $\frac{7}{2}$

$x_{1}$ × $x_{2}$ = - $\frac{9}{2}$