Answer:
Step-by-step explanation:
Looking at our particular problem...let's identify everything that's going on here. What's inside the box are the coefficients from the original polynomial, with the last number being the constant. If we have 3 numbers there, which we do, then the first number is a coefficient on x², the second number is the coefficient on x, and the third number is the constant. So from that we know that our original polynomial was a 2nd degree, namely:
3x² + 7x - 20
The number outside the box is the number we are dividing into this original polynomial. This is a number in solution form. That means that x = -4. If
x = -4 is a solution, then the factor is (x + 4) = 0.
The numbers in the very bottom row are the coefficients of what is called the depressed polynomial, and this depressed polynomial is one degree less than the degree with which we started. So this depressed polynomial is a linear one (first degree, which is a line). The very last number in this bottom row is the remainder. If the remainder is 0, then -4 is a solution of the polynomial, it is also a 0, and (x + 4) is a factor of the polynomial. Our remainder is a 0.
So putting that all together gives us the answers as A, C, and E are our choices.
The equation of the line that passes through the point (4,-4) and has a slope of -3 is y = -3x + 8.
<h3>How to find the equation of a line?</h3>
The equation of a line can be represented in slope intercept form as follows:
y = mx + b
where
Therefore, the equation of the line that passes through the point (4,-4) and has a slope of -3 can be found as follows;
m = -3
Hence,
y = -3x + b
using (4, -4) let's find the y-intercept.
-4 = -3(4) + b
-4 = - 12 + b
b = -4 + 12
b = 8
Therefore, the equation is y = -3x + 8
learn more on equation of a line here: brainly.com/question/29472392
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Answer: 2/8, 3/8, 4/8, 5/8, 7/8
Step-by-step explanation:
Since they all have a common denominator, we can list them based on their numerator without having to worry about the denominator.
2/8 < 3/8 < 4/8 < 5/8 < 7/8
Answer:
option A
Step-by-step explanation:
the ans is 7
it has factors 1 nd 7
