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Q1. What will be the value of a, if y + 2 is a factor of .

Solution

Since, y + 2 is a factor of , the remainder will be zero. Using Long Division, we have Now, 5a + 20 = 0
Q2. Find all the factors of 6xy.

Solution

All possible factors of 6 are: 1, 2, 3, 6 All possible factors of xy are: x, y, xy Hence all factors of 6xy are: 1, 2, 3, 6, x, y, xy, 2x, 2y, 2xy, 3x, 3y, 3xy, 6x, 6y, 6xy.
Q3. Verify division algorithm, i.e., Dividend = Divisor x Quotient + Remainder for following: Dividend: Divisor:

Solution

Using Long Division, we have:   Verification: Dividend: Divisor: Quotient:  Remainder: 0 Now, Divisor x Quotient + Remainder
Q4. Factorise:

Solution

Q5. Divide 27xy2(17x2 - 68) by 51(x + 2).

Solution

Consider Thus,
Q6. Divide by .

Solution

Q7. Factorise: x2 + 8xy +16y2 - 36 

Solution



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