Factor the trinomial x^2-5x-6
1 answer:
Answer: (x - 6)(x + 1)
Step-by-step explanation: This trinomial has an x² term, an x term and a constant term so it can be factored as the product of two binomials.
So starting with our two sets of parentheses, x² factors as x multiplied by x. Now we want to find factors of the constant term that add to the coefficient of the middle term. So we're looking for factors of -6 that add to -5.
A negative number factors into the product of a positive and a negative. So our factors of -6 are 6 × -1, -6 × 1, 3 × -2, or -3 × 2.
This is a trick problem because many of these pairs of factors look like they could add to -5 but the only one that does is -6 × 1.
So our answer is (x - 6)(x + 1).
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Answer:
Alyssa had scored 3 goals today.
Step-by-step explanation:
Given:
Number of goals scored yesterday =
Total number of goals scored in 2 games = 4
We need to find the number of goals scored today.
Solution:
Now Given:
Today she scored 3 times as many goals than yesterday.
So we can say that;
Number of goals scored today =
Now we know that;
Total number of goals scored in 2 games is the sum of Number of goals scored yesterday and Number of goals scored today.
framing in equation form we get;
Dividing both side by 4 we get;
Number of goals scored yesterday = 1
Number of goals scored today =
Hence Alyssa had scored 3 goals today.
Step-by-step explanation:
* open dot
You did not provide the graphs to choose from so use the table above to determine which graph fits those coordinates.
Make sure that:
- (0, -3) has an open dot
- nothing is plotted between x = 0 and x = 2
- (2, -4) has a closed dot