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India
Class IX

Polynomial Division Using Synthetic Division

Interactive practice questions

Consider the division $\left(2x^2+3x-4\right)\div\left(x+4\right)$(2x2+3x4)÷​(x+4).

Is it possible to use synthetic division to perform the given division?

No

A

Yes

B
Easy
< 1min

Consider the division $\frac{x^3+2x^2-29x-30}{x+6}$x3+2x229x30x+6.

Easy
2min

Consider the division $\frac{x^4+9x^3+17x^2-13x+10}{x+5}$x4+9x3+17x213x+10x+5.

Easy
2min

Consider the division $\frac{3x^3-19x^2+25x-22}{x-5}$3x319x2+25x22x5.

Easy
2min
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Outcomes

9.A.P.2

State and motivate the Remainder Theorem with examples and analogy to integers. Statement and proof of the Factor Theorem. Factorisation of ax^2 + bx + c, a ≠ 0 where a, b, c are real numbers, and of cubic polynomials using the Factor Theorem.

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