8. Find (f+g)(x) if f(x) = 4x² - 5x and g(x) = 3x² + 6x - 4.
1 answer:
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Answer:
where y is positive.
The 2y in the denominator is not inside the fourth root
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Work Shown:
The idea is to get something of the form in the denominator. In this case,
To be able to reach the , your teacher gave the hint to multiply top and bottom by
For more examples, search out "rationalizing the denominator".
Keep in mind that only works if y isn't negative.
If y could be negative, then we'd have to say . The absolute value bars ensure the result is never negative.
Furthermore, to avoid dividing by zero, we can't have y = 0. So all of this works as long as y > 0.
Answer:
-
or -+8x-16
Step-by-step explanation:
Given a second degree polynomial has a root 4 with multiplicity 2
That means, 4 is a repeating root of the polynomial.
Any second degree polynomial has at most 2 real roots.
⇒Both roots of the polynomial are 4.
and its expression can be written as c· where c is a real number
⇒c·(-8x+16)
⇒c-8cx+16c
Also, the leading coefficient is given as -1
So, c = -1
and the expression becomes (-1)-8·(-1)·x+16·(-1)
⇒<u>-+8x-16</u>