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aliya0001 [1]
2 years ago
6

3. How is the Fundamental Theorem of Algebra true for quadratic polynomials?

Mathematics
1 answer:
myrzilka [38]2 years ago
6 0

Answer:

Step-by-step explanation:

Theorm-The Fundamental Theorem of Algebra: If P(x) is a polynomial of degree n ≥ 1, then P(x) = 0 has exactly n roots, including multiple and complex roots.

Let's verify that the Fundamental Theorem of Algebra holds for quadratic polynomials.

A quadratic polynomial is a second degree polynomial. According to the Fundamental Theorem of Algebra, the quadratic set = 0 has exactly two roots.

As we have seen, factoring a quadratic equation will result in one of three possible situations.

graph 1

The quadratic may have 2 distinct  real roots. This graph crosses the

x-axis in two locations. These  graphs may open upward  or downward.

graph 2

It may appear that the quadratic  has only one real root. But, it  actually has one repeated root.  This graph is tangent to the x-axis  in one location (touching once).

graph 3

The quadratic may have two  non-real complex roots called  a conjugate pair. This graph will  not cross or touch the x-axis, but  it will have two roots.

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Answer:

5 books.

Step-by-step explanation:

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Diego's history teacher writes a test for the class with 26 questions. The test is worth 123 points and has two types of questio
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Answer:

The number of essay questions on the test were 9

Step-by-step explanation:

Given as :

Total number of questions in a test = 26

Total points for the 26 questions = 123

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Let The number of multiple choice questions = m

Let The number of essay questions = e

<u>Now, According to question</u>

Total number of questions in a test = number of multiple choice questions +  number of essay questions

Or, m + e = 26         .....A

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Solving the equation we get

8 × ( m + e ) - (3 m + 8 e) = 8 × 26 - 123

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Or, 5 m + 0 = 85

∴  m = \dfrac{85}{5}

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ANSWER:

For the first picture, it is the first answer. This is because of the Exterior Angle Theorem.

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