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Mathematics
2. Polynomials and Factorisation
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Q4 of 86 Page 42

Find the remainder when 9x3 – 3x2 + x – 5 is divided by

Let p(x) = 9x3 – 3x2 + x – 5


As we know by Remainder Theorem,


If a polynomial p(x) is divided by a linear polynomial (x – a) then, the remainder is p(a)


⇒ Remainder of p(x) when divided by is




⇒ Remainder of 9x3 – 3x2 + x – 5 when divided by is –3


More from this chapter

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2

Find the remainder when x3 – px2 + 6x – p is divided by x – p.

3

Find the remainder when 2x2 – 3x + 5 is divided by 2x – 3. Does it exactly divide the polynomial? State reason.

5

If the polynomials 2x3 + ax2 + 3x – 5 and x3 + x2 – 4x + a leave the same remainder when divided by x – 2, find the value of a.

6

If the polynomials x3 + ax2 + 5 and x3 – 2x2 + a are divided by (x + 2) leave the same remainder, find the value of a.

Questions · 86
2. Polynomials and Factorisation
1 2 3 4 5 6 1 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 6 1 1 1 1 1 2 3 4 5 6 7 8 9 1 1 1 1 2 2 2 2 2 3 4 5 6 7 7 7 7 8 9 10 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5
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