The polynomial 6x2 + 37x – 60 represents an integer. Which expressions represent integer factors of 6x2 + 37x – 60 for all value
2 answers:
For this case we have the following polynomial:
Rewriting the polynomial in the term of degree 1 we have:
Then, we group the expression obtained as:
In the first parenthesis we do 2x common factor.
In the second parenthesis we make a common factor 15.
We have then:
Then, we make a common factor of both parentheses:
Answer:
The expressions that represent integer factors of for all values of x are:
option 1
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The attached image shows the image of A"B"C" after the transformation
<h3>What is the transformation of the triangle about?</h3>The transformation rule states:
A"B"C" = Ro90° (T(-4,3)(ABC))
This implies that one need to rotate the triangle in a 90⁰ clockwise direction, and then one need to translate the triangle.
Using the image shown, the coordinates of ABC are;
A = (-1, 2)
B = (1, 4)
C = (3, -1)
The 90⁰ rule clockwise rotation will be:
(x,y) -- (y,-x)
So, when translated, it will be:
A' = (2, 1)
B' = (4, -1)
C' = (-1, -3)
Then the translation of the triangle using T(-4,3):
(x, y) - (x - 4, y + 3)
So, there is:
A'' = (-2, 4)
B'' = (0, 2)
C'' = (-5, 0)
Learn more about transformation from:
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