Good Morning, Sunshines! :)

This might be a silly question, but how did you know that that would be the answer?

 \(\begin{array}{rcrcr} \color{blue}3x^2 &-& x^2 &=& \color{red} 2x^2 \\ \color{blue}7x &-& (- 2x) &=& \color{red}9x\\ \color{blue}0 &-& 6 &=& \color{red}-6 \end{array}\)

What Polynomial must be added to X^2-2x+6 so that the sum is 3x^2+7x?

\(\begin{array}{rcrcrcr} && x^2 &-& 2x &+& 6 \\ &\color{red}+& \color{red} 2x^2 &\color{red}+& \color{red}9x &\color{red}-& \color{red}6 \\ \hline &=& \color{blue}3x^2 &\color{blue}+& \color{blue}7x &\color{blue}+& \color{blue}0 \\ \end{array}\)

This might be a silly question, but how did you know that that would be the answer?

Good morning Hayley :)

I suppose it is morning here too since it is 12:25am :))

What Polynomial must be added to X^2-2x+6 so that the sum is 3x^2+7x?

well

\(x^2 +   2x^2 = 3x^2\\ -2x+ 9x=7x\\ 6+ -6 = 0\\ so\\ x^2-2x+6\quad +\quad 2x^2+9x-6 = 3x^2+7x\)

So the polynomial that you seek is

\(2x^2+9x-6\)

oh okay, sorry for my silly question :D. Thanks, everyone!! <33

Good Morning Haley? How r u?

Sleepy! You?

Very, Very sleepy/bored:)