find the zeros of a quadratic polynomial graphically and verify the result by any algebraic method
Answers
Answer:The zeros of a polynomial can be found by finding where the graph of the ... But, these are any values where y = 0, and so it is possible that the graph just ... remember that solving an equation like f(x) = (x – 5)(x + 1) = 0 would result in the answers x = 5 and x = –1. This is an algebraic way to find the zeros of the function f(x).
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Step-by-step explanation:
Answer:
Step-by-step explanation:
- Let us consider the quadratic polynomial
- Now, let us create a table to plot the points on the graph
x 0 1 -1 2 -2 3 4
y 1 0 4 1 9 4 9
Hence, after plotting the graph, it can be clearly seen that y=0 at x=1, hence 1 is the zero of the polynomial.
- Now, to check algebraically, we know that a certain polynomial's zero can be found out when for some y=f(x), some t exists such that y=f(t)=0, then t is said to be the zero of the given polynomial.
- Here, clearly putting x=1 in , we get, y=0. Therefore, x=1 is the zero of the polynomial given.
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