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3. Polynomials
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Q7 of 84 Page 53

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

The coefficient form of the polynomial:

⟹ 1.x2 + 2.x – 3


(1, 2, -3)



Since the last term is zero which indicates that the polynomial on dividing by x + 3 leaves no remainder and hence x + 3 is the factor of x2 + 2x – 3


More from this chapter

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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)

6

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

8

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

9

By using factor theorem in the following examples, determine whether q(x) is a factor p(x) or not.

p(x) = x3 – x2 – x – 1, q(x) = x - 1

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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