kvresk
Answered

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1. The sum of two polynomials is `4x^3+3x

2. The difference of two polynomials is `4x^3+3x

Sagot :

vskellet

Answer:

I'm not sure but I think it is A

Step-by-step explanation:

MrRoyal

Polynomials can be combined using the mathematical operations to form another polynomial. The two polynomials are: [tex]A = 2x^3 + 4x + \frac 32[/tex] and [tex]B = 2x^3- x - \frac 32[/tex]

Let the two polynomials be A and B.

The complete question is represented as:

[tex]A + B = 4x^3+3x[/tex]

[tex]A - B = 5x+3[/tex]

Add the above polynomials

[tex]A + B + A - B = 4x^3 + 3x + 5x + 3[/tex]

Collect like terms

[tex]A + A + B - B = 4x^3 + 3x + 5x + 3[/tex]

[tex]2A = 4x^3 + 8x + 3[/tex]

Divide through by 2

[tex]A = 2x^3 + 4x + \frac 32[/tex]

Make B the subject in: [tex]A + B = 4x^3+3x[/tex]

[tex]B = 4x^3 + 3x - A[/tex]

So, we have:

[tex]B = 4x^3 + 3x - [2x^3 + 4x + \frac 32][/tex]

Open brackets and collect like terms

[tex]B = 4x^3 - 2x^3+ 3x -4x - \frac 32[/tex]

[tex]B = 2x^3- x - \frac 32[/tex]

Hence, the polynomials are:

[tex]A = 2x^3 + 4x + \frac 32[/tex] and

[tex]B = 2x^3- x - \frac 32[/tex]

Read more about polynomials at:

https://brainly.com/question/11536910

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