Answer:
{-1/2, 1}
Step-by-step explanation:
You can divide the given polynomial by the factor (x +2) to find the remaining quadratic. That can be factored in the usual way to find the remaining zeros, or other means can be used. Such "other means" include graphing and the use of the quadratic formula.
The first attachment shows the synthetic division of f(x) by (x+2). The quotient is 2x^2 -x -1, which factors as ...
2x^2 -x -1 = (2x +1)(x -1)
The zeros are the values of x that make these factors zero: -1/2, +1.
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My favorite way to find the roots of any higher degree polynomial is to use a graphing calculator. The second attachment shows that method.
Answer:
pqr2-pq-p2r-rq2 is the answer
I think it's (h= $6.25) because if you divide all y's by x you will get 6.25 every time. so the answer is most likely $6.25
Answer:
x = 7
Step-by-step explanation:
The sum of the interior angles is 90°, so you have ...
(7x +8) +(5x -2) = 90
12x = 84 . . . . subtract 6; next, divide by 12
x = 7
<span>a) Intervals of increase is where the derivative is positive
b) </span> <span>Intervals of decrease is where the derivative is negative. </span>
c) <span>Inflection points of the function are where the graph changes concavity that is the point where the second derivative is zero </span>
<span>d)
Concave up- Second derivative positive </span>
<span>Concave down- second derivative negative </span>
f(x) = 4x^4 − 32x^3 + 89x^2 − 95x + 31
<span>f '(x) = 16x^3 - 96x^2 + 178x - 95 </span>
<span>f "(x) = 48x^2 - 192x + 178 </span>
<span>By rational root theorem the f '(x) has one rational root and factors to: </span>
<span>f '(x) = (2x - 5)*(8x^2 - 28x + 19) </span>
<span>Using the quadratic formula to find it's two irrational real roots. </span>
<span>The f "(x) = 48x^2 - 192x + 178 only has irrational real roots, use quadratic formula which will be the inflection points as well.</span>