Organize the following polynomial expressions from least to greatest based on their degree: x 2xyz 3x y z 2x3y y2x − 3x 4 9x3yz
1 answer:
Using polynomial concepts, it is found that the sorting of the polynomial expressions from least to greatest based on their degree is given by: I, III, II, IV.
<h3>What is the degree of a polynomial?</h3>The degree of a polynomial is given by it's largest exponent.
In this problem, the <em>polynomials </em>are given by:
- I: x + 2xyz.
- II: 9x³y².
- III: 18x² + 5ab - 6y
- IV:
Hence, the respective degrees are: 1, 3, 2, 4, and the ordering from least to greatest is: I, III, II, IV.
You can learn more about the degree of a polynomial at brainly.com/question/7592815
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Answer:
Step-by-step explanation:
Given equation is,
y = 3x² - 6x + 11
a). y = 3x² - 6x + 11
= 3(x² - 2x) + 11
= 3(x² -2x + 1 - 1) + 11
= 3(x² - 2x + 1) - 3 + 11
= 3(x - 1)² + 8
Comparing this equation with y = a(x - b)² + c
a = 3, b = 1 and c = 8
b). For minimum value of x,
Since, vertex of the graph is given by (b, c),
Minimum value of x will be,
x = b
x = 1
c). Vertex of the parabola → (b, c)
→ (1, 8)
For y-intercept,
By substituting x = 0 in the equation,
y = 3(0 - 1)² + 8
y = 11
Now we can sketch the graph by using the table of input - output values.
x -2 -1 0 1 2 3
y 35 20 11 8 11 20
