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2. Polynomials
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Q7 of 90 Page 2

Applying the Division Algorithm, check whether the first polynomial is a factor of the second polynomial:

x – 2, x3 + 3x3 – 12x + 4

Let us divide x3 + 3x2 – 12x + 4 by x – 2


The division process is



Here, the remainder is 0, therefore x – 2 is a factor of x3 + 3x2 – 12x + 4


More from this chapter

All 90 →
6

Apply Division Algorithm to find the quotient q(x) and remainder r(x) on dividing p(x) by g(x) as given below:

p(x) = x3 – 6x2 + 11x – 6 , g(x) = x2 – 5x + 6

6

Apply Division Algorithm to find the quotient q(x) and remainder r(x) on dividing p(x) by g(x) as given below:

p(x) = 6x3 + 13x2 + x – 2 , g(x) = 2x + 1

7

Applying the Division Algorithm, check whether the first polynomial is a factor of the second polynomial:

x2 + 3x + 1,3x4 + 5x3 – 7x2 + 2x + 2

7

Applying the Division Algorithm, check whether the first polynomial is a factor of the second polynomial:

x2 – 3x + 4,2x4 – 11x3 + 29x2 – 30x + 29

Questions · 90
2. Polynomials
1 2 3 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 4 5 6 7 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 11 12 12 13 13 1 2 3 3 3 3 3 3 3 3 4 5 6 6 6 6 6 6 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 10 11 11 11 11 12 13 14 15 15 15 15
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