Question

The sum and product of polynomial x^2+ 7x- 2 are

Answer 1

Given:

• x² +7x -2

To find:

• Sum and product of zeroes

Solution:

Comparing with standard equation

ax² +bx +c =0

Therefore

a = 1

b = 7

c = -2

We know that,

Sum of zeroes = $\frac{ - coefficiet \: of \: x}{coefficient \: of \: {x}^{2} }$

$= \frac{ - b}{ \: \: a}$

So, the sum of zeroes = $\frac{ - 7}{1} = - 7$

Also,

Product of zeroes = $\frac{constant \: term \: }{coefficient \: of \: {x}^{2} }$

$= \frac{c}{a}$

So, Product of zeroes = $\frac{ - 2}{1} = - 2$

Hence, the sum of zeroes = -7 and product of zeroes = -2