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3. Polynomials
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Q1 of 108 Page 38

Find the quotient and the remainder on dividing f(x) by using division algorithm.

f(x) = 3x2 +x2 + 2x +5, g(x) = 1+2x + x2


The solution is as follows:


Therefore the quotient and remainder are as follows:


Quotient = 3x – 5


Remainder = 9x + 10


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2

Find a quadratic polynomial the sum and the product of whose zeroes are respectively the given numbers.

1, 1


3

If sum of squares of zeroes of quadratic polynomial f(x) = x2 – 8x + k is 40, the find the value of k.

1

Find the quotient and the remainder on dividing f(x) by using division algorithm.

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


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Find the quotient and the remainder on dividing f(x) by using division algorithm.

f(x) = x3 – 6x2 + 11x – 6, g(x) = x + 2


Questions · 108
3. Polynomials
1 1 1 1 1 1 2 2 2 2 2 2 3 1 1 1 1 2 2 2 3 3 3 4 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 3 4 5 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 4 5 1 1 1 1 1 2 3 4 5 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 19 19 19 20 21 21 22 23
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