Question

Find the zeroes of the quadratic polynomial x2 + 7x + 10.
a. 2 and S
b. -2 and -5
C.
3 and 5
d. 3 and -5​

Answer 1

Answer:

option b is correct

Step-by-step explanation:

-2 = -2^2+7×-2+10

4-14+10

-14+14=0

-5 = -5^2+7×-5+10

25-35+10

35-35=0

Answer 2

Given :

• A Quadratic Polynomial x² + 7x + 10 .

To Find :

• Zeroes of the given polynomial .

Solution :

$\longmapsto\tt{{x}^{2}+7x+10=0}$

By Splitting Middle Term :

$\longmapsto\tt{{x}^{2}+(5x+2x)+10=0}$

$\longmapsto\tt{{x}^{2}+5x+2x+10=0}$

$\longmapsto\tt{x(x+5)\:+\:2(x+5=0)}$

$\longmapsto\tt{(x+2)\:\:(x+5)=0}$

Now ,

$\longmapsto\tt{x+2=0}$

$\longmapsto\tt{x=0-2}$

$\longmapsto\tt\bf{x=-2}$

Similarly ,

$\longmapsto\tt{x+5=0}$

$\longmapsto\tt{x=0-5}$

$\longmapsto\tt\bf{x=-5}$

So , The Zeroes of the polynomial is -2 and -5 .

Option b) -2 and -5 is Correct .