What are the solutions of x2 + 10x + 16 = 0?
1.write the equation in standard form.
2.factor the polynomial.
3.apply the zero product property.
4.solve the resulting equations
x2 + 10x + 16 = 0

(x + 2)(x + 8) = 0

x + 2 = 0 or x + 8 = 0

x = and x=

x= -2 and x= -8

Step-by-step explanation:

Given:

Solution:

1) equation in standard form is  

therefore, is in standard form.

2) factors of the polynomial of the given equation is :

3) zero product property sate that if a.b=0 then either a=0 or b=0

applying this property,

⇒either (x+2)=0 or (x+8)=0

⇒either x= -2 or x= -8

4) solving the equation we get, x= -2 and x= -8

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step-by-step explanation:

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