Maths-

General

Easy

Question

# The sum of two expressions is x^{3}-x^{2}+3x-2. If one of them is x^{2 }+ 5x - 6, what is the

other?

Hint:

### Addition of polynomials.

○ Always take like terms together while performing addition.

○ In subtraction of polynomials only coefficients are subtracted.

## The correct answer is: Hence, the other term is x3 -2x2 - 2x + 4.

### Answer

- Step by step explanation:

○ Given:

Sum: x^{3} -x^{2} + 3x- 2

Term: x^{2} + 5x- 6

○ Step 1:

○ Let the other term be A.

As given sum is x^{3} -x^{2} + 3x- 2

A + x^{2} + 5x- 6 = x^{3} -x^{2} + 3x- 2

A = x^{3} -x^{2} + 3x- 2 ) - ( x^{2} + 5x- 6 )

A = x^{3} -x^{2} + 3x - 2 - x^{2} - 5x + 6

A = x^{3} -x^{2 }- x^{2} + 3x - 5x - 2 + 6

A = x^{3} -2x^{2} - 2x + 4

- Final Answer:

Hence, the other term is x^{3} -2x^{2} - 2x + 4.

^{2}+ 5x- 6 = x

^{3}-x

^{2}+ 3x- 2

^{3}-x

^{2}+ 3x- 2 ) - ( x

^{2}+ 5x- 6 )

^{3}-x

^{2}+ 3x - 2 - x

^{2}- 5x + 6

^{3}-x

^{2 }- x

^{2}+ 3x - 5x - 2 + 6

^{3}-2x

^{2}- 2x + 4

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