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Addition and Subtraction of Algebraic Expression

Add:2 x3-9 x2...

Question

Add:
2x³ − 9x² + 8, 3x² − 6x − 5, 7x³ − 10x + 1 and 3 + 2x − 5x² − 4x³

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Solution

On arranging the terms of the given expressions in the descending powers of $x$ and adding column-wise:

$2 x^{3} - 9 x^{2} + 0 x + 8 0 x^{3} + 3 x^{2} - 6 x - 5 7 x^{3} + 0 x^{2} - 10 x + 1 - 4 x^{3} - 5 x^{2} + 2 x + 3 5 x^{3} - 11 x^{2} - 14 x + 7$

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Similar questions

2 x^{3} + 9 x^{2} + 10 x + 3

2 x^{3} - 9 x^{2} + 10 x

(2 x + 5)

and also verify the result.

Q. 3. (4x3 -5x2 +6x +9) dx

\int_{1}^{2} (4 x^{3} - 5 x^{2} + 6 x + 9) d x

Q. What must be added to 5x³ − 2x² + 6x + 7 to make the sum x³ + 3x² − x + 1?
(a) 4x³ − 5x² + 7x + 6
(b) −4x³ + 5x² − 7x − 6
(c) 4x³ + 5x² − 7x + 6
(d) none of these

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