Divide. (4x^4 - 4x^2 - x-3) = (2x^2 – 3)
1 answer:
Answer:
Step-by-step explanation:
<u>Step 1:</u>
- Simplify:
<em>Checking for a perfect cube:</em>
- 4x⁴ - 4x² - x - 3 is not a perfect cube.
<em>Trying to factor by pulling out:</em>
- Factoring: 4x⁴ - 4x² - x - 3
- Thoughtfully split the expression at hand into groups, each group having two terms:
- Group 1: - x - 3
- Group 2: 4x⁴ - 4x³
- Pull out from each group separately:
- Group 1: (x + 3) • (-1)
- Group 2: (x² - 1) • (4x²)
- Bad news!! Factoring by pulling out fails:
- The groups have no common factor and can not be added up to form a multiplication
<em>Final result:</em>
- <em />
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Answer:
The line equation is given as: 3 y = 2 x - 9
Step-by-step explanation:
Here, Y intercept is at point ( 0.-3)
So, at x = 0, y = -3
or, C = -3
Also, the point on the equation line is (x,y) = (-9,-9)
Now, by <u>SLOPE INTERCEPT FORM</u> of a line equation,we get:
y = m x + C : m = slope of line ......... (1)
So, substituting the values of C and (x,y) , we get:
-9 = m (-9) + (-3)
or, -9 + 3 = - 9 m
or, m = -6/-9 = 2/3
or, m = 2/3
Now, substitute the value of m back in to the line equation (1)
Hence, the line equation is given as: 3 y = 2 x - 9.