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3. Polynomials
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Q6 of 84 Page 53

If the polynomial y3 – 5y2 + 7y + m is divided by y+2 and the remainder is 50 then find the value of m.

Put y = -2 throughout the given polynomial

(-2)3 – 5 × (-2)2 + 7 × (-2) + m = 50


-8 – 20 -14 + m = 50


-28 + 14 + m = 50


-14 + m = 50


m = 50 + 14


m = 64


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5

Divide the first polynomial by the second polynomial and find the remainder using factor theorem.

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5

Divide the first polynomial by the second polynomial and find the remainder using factor theorem.

(54m3 + 18m2 – 27m + 5); (m-3)

7

Use factor theorem to determine whether x+3 is factor of x2 + 2x – 3 or not.

8

If (x-2) is a factor of x3 – mx2 + 10x - 20 then find the value of m.

Questions · 84
3. Polynomials
1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 1 1 1 1 1 1 1 2 3 4 1 2 2 2 3 4 5 5 5 6 7 8 9 9 10 11 12 13 13 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 3 4 5 6 6 7 7 8 8 9 10 11 12 13 14 15
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