Math, asked by nisha326066, 8 months ago

find the zeros of a quadratic polynomial graphically and verify the result by any algebraic method​

Answers

Answered by itsbiswaa
13

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:

Answered by syed2020ashaels
8

Answer:

Step-by-step explanation:

  • Let us consider the quadratic polynomial y=x^{2} -2x+1
  • 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 y=x^{2} -2x+1, we get, y=0. Therefore, x=1 is the zero of the polynomial given.

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