Question

The sum of product of the zeroes taken two at a time of x²-14x+x+1 is

a) -1 b) zero c) 1 d) 2​

Answer 1

$\pink{\boxed {✰<strong>QUESTION</strong>✰}}$

• The sum of product of the zeroes taken two at a time of x³- 14x² + x + 1 is

✪ANSWER✪

• $\boxed{c)\:\:\alpha \beta + \beta \gamma + \gamma \alpha = 1}$

★EXPLAINATION★

If $\alpha ,\beta ,\gamma$ are zeroes of a cubic polynomial, then

$\alpha \beta + \beta \gamma + \gamma \alpha = \frac{coeff \: of \: x}{coeffof \: {x}^{3} }$

$⇒\alpha \beta + \beta \gamma + \gamma \alpha = \frac{1}{1}$

$⇒\boxed{\alpha \beta + \beta \gamma + \gamma \alpha = 1}$