What do you think is the relationship between the factors of a quadratic expression and the roots of a quadratic equation? Consider the product of two numbers k and t such that k⋅t=12. What are some values of k and t that make this product true?

Now consider the sum of two numbers a and b such that a+b=0. What are some values of a and b that make this sum true?

What are the sotions to the quadratic equation 9x^2=4

Agroup of students want to create a garden. they do not know the exact measurements but they propose using a variable to represent the length and width of the garden. the length of the garden is 10 feet longer than double the width. use a single variable to write algebraic expressions for both the length and width of the garden. write an algebraic expression for the area of the garden. use mathematical terms to describe this expression.

The swimming pool is open when the high temperature is higher than 20∘c. lainey tried to swim on monday and thursday (which was 3 days later). the pool was open on monday, but it was closed on thursday. the high temperature was 30∘c on monday, but decreased at a constant rate in the next 3 days. write an inequality to determine the rate of temperature decrease in degrees celsius per day, d, from monday to thursday.