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BE7S - No -8-7-6-5 &-&# to 2 w 9 H 32 t 8965

BE7S - No -8-7-6-5 &-&# to 2 w 9 H 32 t 8965

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Understanding Polynomial Graphs #### Graph Description The given image displays a coordinate grid with a graph of a polynomial function. The x-axis ranges from -8 to 8, and the y-axis ranges from -8 to 8. Each axis is marked with integer values. The graph resembles an upward-opening parabola, intersecting the y-axis above the x-axis and having a vertex positioned at the lowest point of the curve. #### Question Prompt Below the graph, the question posed is: "What is the least possible degree of the polynomial graphed above?" #### Explanation Polynomials are mathematical expressions consisting of variables and coefficients, structured as a sum of terms where each term includes the product of a coefficient and a variable raised to a non-negative integer exponent. The degree of a polynomial is determined by the highest power of the variable present in the polynomial. In our graph, the curve is a parabolic shape, which indicates that the polynomial is a quadratic function. Quadratic functions are polynomials of degree 2 and are generally expressed in the form \( ax^2 + bx + c \). The shape of this graph (a single parabola) confirms that the least possible degree of the polynomial matching this graph is 2. #### Answer Box An interactive text box is provided to input the answer to the question posed about the polynomial's degree. **Answer:** The least possible degree of the polynomial graphed above is **2**.
Transcribed Image Text:### Understanding Polynomial Graphs #### Graph Description The given image displays a coordinate grid with a graph of a polynomial function. The x-axis ranges from -8 to 8, and the y-axis ranges from -8 to 8. Each axis is marked with integer values. The graph resembles an upward-opening parabola, intersecting the y-axis above the x-axis and having a vertex positioned at the lowest point of the curve. #### Question Prompt Below the graph, the question posed is: "What is the least possible degree of the polynomial graphed above?" #### Explanation Polynomials are mathematical expressions consisting of variables and coefficients, structured as a sum of terms where each term includes the product of a coefficient and a variable raised to a non-negative integer exponent. The degree of a polynomial is determined by the highest power of the variable present in the polynomial. In our graph, the curve is a parabolic shape, which indicates that the polynomial is a quadratic function. Quadratic functions are polynomials of degree 2 and are generally expressed in the form \( ax^2 + bx + c \). The shape of this graph (a single parabola) confirms that the least possible degree of the polynomial matching this graph is 2. #### Answer Box An interactive text box is provided to input the answer to the question posed about the polynomial's degree. **Answer:** The least possible degree of the polynomial graphed above is **2**.
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