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Two polynomials are given

P=3x^2 +2x-6 and Q=2x^2-2x+10

Find P+Q and Q-P.

Note that ^ before a number means it's an exponent and please show your work to help me understand what you did. I'm really confused.

Respuesta :

Answer:

[tex]P+Q=5x^2+4[/tex]

[tex]Q-P=-x^2-4x+16[/tex]

Step-by-step explanation:

We are given

[tex]P=3x^2+2x-6[/tex]

[tex]Q=2x^2-2x+10[/tex]

Calculation of P+Q:

[tex]P+Q=3x^2+2x-6+2x^2-2x+10[/tex]

now, we can combine like terms

[tex]P+Q=3x^2+2x^2+2x-2x+10-6[/tex]

[tex]P+Q=5x^2+0+4[/tex]

[tex]P+Q=5x^2+4[/tex]

Calculation of Q-P:

[tex]Q-P=2x^2-2x+10-(3x^2+2x-6)[/tex]

Firstly, we will distribute negative sign

[tex]Q-P=2x^2-2x+10-3x^2-2x+6[/tex]

now, we can combine like terms

[tex]Q-P=2x^2-3x^2-2x-2x+6+10[/tex]

[tex]Q-P=-x^2-4x+16[/tex]