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Law Incorporation [45]
2 years ago
8

Describe the zero product property and explain how tu use it to solve (2x + 10) (x - 7) = 0

Mathematics
1 answer:
Korolek [52]2 years ago
8 0

Answer:

See below

Step-by-step explanation:

Basically, when you have a product to two factors set equal to 0, you can use the Zero Product Property and make two separate equations, both set equal to 0, to find the roots for each factor:

2x+10=0\\2x=-10\\x=-5

x-7=0\\x=7

Notice that by plugging these roots back into the equation, either factor will be 0, making the whole expression 0:

(2x+10)(x-7)=0\\(2(7)+10)(7-7)=0\\(24)(0)=0\\0=0

(2x+10)(x-7)=0\\(2(-5)+10)(-5-7)=0\\(0)(-12)=0\\0=0

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dimulka [17.4K]

The number of positive zeros is either 2 or 0. The number of negative zeros is either 2 or 0

<h3>How to determine the true statement?</h3>

The polynomial function is given as:

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The number of positive zeros and negative zeros can also be 0

Hence, the number of positive zeros is either 2 or 0. The number of negative zeros is either 2 or 0

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True as each slope creates a shorter line so each shape would be congruent but only if compasses are used to find the central point.

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