Answer:
-1
Step-by-step explanation:
The roots of the polynomial are -2 and 3. According to the zero product property:
Given that the last term in the cubic equation is -6, it indicates that a must equal 1 as the product of -2 and 3 already results in -6. This can be verified by expanding the three factors:
Thus, following the zero product property, the final value is -1.
Hope this clarifies!
Answer:
Mr. Pratt can award three students in 2,600 different ways.
Step-by-step explanation:
The method of choosing k items from n unique items, without any repetitions, is termed as combinations in mathematical terms.
The formula to calculate the number of combinations for k items from n is:
Mr. Pratt has three awards to distribute.
The total number of students present in his classroom is n = 26.
He has k = 3 awards, specifically a pencil, an eraser, and a homework pass.
To find out how many combinations are possible for Mr. Pratt to choose three students from 26 to receive the awards, we calculate as follows:
Therefore, Mr. Pratt can choose three students to win these awards in 2,600 different ways.