Question

Maths
Sum of the zeroes of the polo polynomial x^2 + 7 x+10
a) 10
b) -10
c) 7
d)-7​

Answer 1

$\orange{\bigstar}$  Given  $\green{\bigstar}$

x² + 7x + 10

$\orange{\bigstar}$  To Find  $\green{\bigstar}$

Sum of zeroes

$\orange{\bigstar}$  Knowledge Required  $\green{\bigstar}$

We need to compare the given equation with ax² + bx + c .

→ Sum of zeroes = $\rm \dfrac{-b}{a}$

$\orange{\bigstar}$  Solution  $\green{\bigstar}$

Compare x² + 7x + 10 with ax² + bx + c ,

• a = 1 , b = 7 , c = 10

So ,

Sum of zeroes = $\rm \dfrac{-(b)}{a}$

$\to \rm \dfrac{-(7)}{1}\\\\\bf \pink{\leadsto -7\ \; \bigstar}$

So , Sum of zeroes = - 7

Option (d) is correct

Answer 2

Step-by-step explanation:

GIVEN:

${x}^{2} + 7x + 10$

TO FIND:

SUM OF ZEROES.

CONCEPT:

COMPARE THE GIVEN EQUATION WITH STANDARD FORM OF QUADRATIC EXPRESSION:

$a {x}^{2} + bx + c$

SUM OF ZEROES:

$\frac{ - b}{a}$

SOLUTION:

a=1,b=7,c=10

SUM OF ZEROES:

$\frac{ - 7}{1} = - 7$

HENCE SUM OF ZEROES OF GIVEN QUADRATIC EXPRESSION IS -7.