How many zeroes are in the product of
1 answer:
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Answer:
Step-by-step explanation:
Find the quotient of
Step 1: Break down the polynomial equation
+
-
Step 2: Divide each piece by dividing the coeffients and subtracting the variables.
16 ÷ 8 = 2
-
=
→ 2
40 ÷ 8 = 5
-
=
→ 5
- 24 ÷ 8 = - 3
-
= 1 → - 3
Step 3: Put the polynomial together
2 + 5
- 3
Answer:
Step-by-step explanation:
<u>Quadratic Function</u>
The quadratic function can be expressed in the following form:
Where a is a real number different from 0, and x1, x2 are the roots or zeroes of the function.
From the conditions stated in the problem, we know
x_1=1+\sqrt{2}, \ x_1=1-\sqrt{2}
Substitute in the general formula above:
Operate the indicated product
To find the value of a, we use the y-intercept which is the value of y when x=0, thus
It follows that
Thus, the required quadratic function is
Or, equivalently