Q.1
The graphs of y = P(x) are given in the figure given below, for some polynomials P(x) find the number of the zeros of P(x) in each case,
Q. 2 Find the quadratic polynomial each with the given number as the sum and product of its zeros respectively.
(i) x² –2x –8
Q. 3
Find the quadratic polynomial each with the given number as its zeros respectively.
(i) 1/4, –1
Q. 4
Find the quadratic polynomial each with the given number as the sum and the product of its zeros respectively.
(i) ✓2, 1/3
Q.5
Divide 2x⁴ – 3x³–3x² + 6x – 2 by 2x² – 3x +1
Q. 6
Find all the zeros of 2x⁴ – 3 x³–x² + 6x – 2, if you know that two of its zeros are √2 and – √2.
Q. 7
Find all the zeros of 3x⁴ + 6x³ – 2x² –10x – 5, if you know that two of its zeros are √(5/3) and – √(5/3).
Q. 8
On dividing x³ – 3x² + x + 2, by polynomial g(x) the quotient and reminder were (x – 2) and (– 2x + 4) respectively. Find g(x).
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