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3. Polynomials
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Q1 of 44 Page 70

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:

p(x) = x3 – 3x2 + 5x – 3, g(x) = x2 - 2

p(x) = x3 – 3x2 + 5x – 3

g(x) = x2 – 2



On dividing them,

The quotient is x – 3

And,

The remainder is 7x – 9

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3

Find the quadratic polynomial, for the zeroes given in each case.

1/2, 3/2

4

Verify that 1, -1 and -3 are the zeroes of the cubic polynomial x3 + 3x2 – x - 3 and check the relationship between zeroes and the coefficients.

1

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:

p(x) = x4 – 3x2 + 4x + 5, g(x) = x2 + 1 - x

1

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:

p(x) = x4 – 5x + 6, g(x) = 2 - x2

Questions · 44
3. Polynomials
1 2 3 4 5 1 2 2 2 2 3 3 3 3 3 4 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 4 1 1 1 2 2 2 3 4 5 5 5
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