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Draw the graph of the polynomial x^2-3x-10 Read of the zeros of the polynomial from the graph. Also show that the axis of the symmetry on it?
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Draw the graph of the polynomial x^2-3x-10 Read of the zeros of the po...
Graph of the polynomial x^2-3x-10
To draw the graph of the polynomial x^2-3x-10, we need to follow the steps given below:
Step 1: Find the x-intercepts or zeros of the polynomial
To find the zeros of the polynomial, we need to set the polynomial equal to zero and solve for x.
x^2-3x-10 = 0
To solve this quadratic equation, we can factor it as:
(x-5)(x+2) = 0
This gives us two solutions: x=5 and x=-2.
So, the x-intercepts or zeros of the polynomial are (5,0) and (-2,0).
Step 2: Find the vertex of the parabola
The vertex of the parabola is the point where the curve changes direction. The x-coordinate of the vertex can be found using the formula:
x = -b/2a
where a=1, b=-3, and c=-10 (from the original polynomial).
So, x = -(-3)/(2*1) = 3/2.
The y-coordinate of the vertex can be found by plugging in x=3/2 into the original polynomial:
y = (3/2)^2 - 3(3/2) - 10 = -29/4
So, the vertex of the parabola is (3/2, -29/4).
Step 3: Plot the points on a coordinate plane and draw the parabola
Using the x-intercepts and vertex, we can plot the points on a coordinate plane and draw the parabola. The axis of symmetry is a vertical line that passes through the vertex.
The graph of the polynomial x^2-3x-10 is shown below:
The axis of symmetry is the vertical line x=3/2.
Therefore, the zeros of the polynomial are (5,0) and (-2,0), and the axis of symmetry is x=3/2.
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Draw the graph of the polynomial x^2-3x-10 Read of the zeros of the polynomial from the graph. Also show that the axis of the symmetry on it?
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Draw the graph of the polynomial x^2-3x-10 Read of the zeros of the polynomial from the graph. Also show that the axis of the symmetry on it? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Draw the graph of the polynomial x^2-3x-10 Read of the zeros of the polynomial from the graph. Also show that the axis of the symmetry on it? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Draw the graph of the polynomial x^2-3x-10 Read of the zeros of the polynomial from the graph. Also show that the axis of the symmetry on it?.
Draw the graph of the polynomial x^2-3x-10 Read of the zeros of the polynomial from the graph. Also show that the axis of the symmetry on it? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Draw the graph of the polynomial x^2-3x-10 Read of the zeros of the polynomial from the graph. Also show that the axis of the symmetry on it? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Draw the graph of the polynomial x^2-3x-10 Read of the zeros of the polynomial from the graph. Also show that the axis of the symmetry on it?.
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