Exercise 8.5
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Exercise 8.51. Divide the first polynomial by the second polynomial in each of the following, Also, write the quotient and remainder:(i) 3x2+4x+5, x-2Solution:(ii) 10x2 – 7x + 8, 5x-3Solution:(iii) 5y3 – 6y2+6y – 1, 5y – 1Solution:(iv) x4 – x3 + 5x , x-1Solution:(v) v4+y2, y2 – 2Solution:2. Find, whether or not the first polynomials is a factor of the second:(i) x + 1, 2x2 + x + 4Solution:(ii) y – 2, 3y3 + 5y2 + 5y + 2Solution:(iii) 4x2 – 4x4, 4x4+7x2+15Solution:(iv) 4 – z, 3z2 – 13z + 4Solution:(v) y4+y2, y2-2Solution:(vi) 4y + 1, 8y2-2y +1Solution: