High School Math : Understanding Quadratic Roots

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 : Understanding Quadratic Roots

Write an equation with the given roots:

Possible Answers:

Correct answer:

Explanation:

To write an equation, find the sum and product of the roots. The sum is the negative coefficient of , and the product is the integer.

Sum: 

Product: 

Subtract the sum and add the product.

The equation is:

Multiply the equation by :

Example Question #2 : Understanding Quadratic Roots

Write an equation with the given roots:

Possible Answers:

Correct answer:

Explanation:

To write an equation, find the sum and product of the roots. The sum is the negative coefficient of , and the product is the integer.

Sum: 

Product: 

Subtract the sum and add the product.

The equation is:

Example Question #3 : Understanding Quadratic Roots

Write an equation with the given roots:

Possible Answers:

Correct answer:

Explanation:

To write an equation, find the sum and product of the roots. The sum is the negative coefficient of , and the product is the integer.

Sum: 

Product: 

Subtract the sum and add the product.

The equation is:

Example Question #4 : Understanding Quadratic Roots

Write an equation with the given roots:

Possible Answers:

Correct answer:

Explanation:

To write an equation, find the sum and product of the roots. The sum is the negative coefficient of , and the product is the integer.

Sum: 

Product: 

Subtract the sum and add the product.

The equation is:

Multiply the equation by :

Example Question #5 : Understanding Quadratic Roots

Write an equation with the given roots:

Possible Answers:

Correct answer:

Explanation:

To write an equation, find the sum and product of the roots. The sum is the negative coefficient of , and the product is the integer.

Sum: 

Product: 

Subtract the sum and add the product.

The equation is:

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