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Polynomials
Write the zeroes of the polynomial x
2
– x–6.
Let, f(x) = x
2
– x–6.
For the zero of the polynomial
x + 2 =0, x - 3 = 0
x = -2
x = 3
110 Views
The graph of y = f (x) is given in Fig. 2.5(a). What is the number of zeroes of f(x)?
Since the graph of y = f (x) intersects x-axis at 3 points.
∴ No. of zeroes of f(x) = 3
84 Views
Write the number of zeroes of the polynomial y = f(x) whose graph is given below
We find that, y = f(x) cuts the x-axis at 3 points therefore, the number of zeroes of f(x) is 3.
288 Views
Write a quadratic polynomial, the sum and product of whose zeroes are 3 and -2 respectively.
The given quadratic polynomial is k{x
2
– 3x – 2}.
345 Views
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Write the zeroes of the polynomial x
2
+2x+1.
Let, f(x) = x
2
+ 2x + 1 for the zero of the polynomial f(x) 0
⇒ x
2
+ x + x + 1 = 0
⇒ x(x + 1) + 1 (x + 1) = 0
⇒ (x+ 1)(x+ 1) = 0
⇒ x = –1
Hence –1 is the zero of the given polynomial
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