Answer:
[tex]x^{2}[/tex] + 3 = 4
5 = 3
[tex]x^{3}[/tex] + 2x + 7 = 8
2x + 5 = 5
[tex]5x^{2}[/tex] = 1
[tex]x^{2}[/tex] + 5 = 7
Step-by-step explanation:
[tex]x^{2}[/tex] + 3 has the degree of 2 (meaning two is its exponent) and is a binomial (meaning there are two terms). So, it goes in between the blue and red bubbles in 4.
5 does not have any degree of 2 and is only one term. It is a constant term of 5 so it goes in the green bubble alone in 3.
[tex]x^{3}[/tex] + 2x + 7 is a trinomial, not a binomial. It does not have a degree of 2 nor does it have a constant of + 5. So, it goes in 8 outside of the bubbles.
2x + 5 is a binomial with a constant of + 5. So, it goes between the red and green bubbles in 5.
[tex]5x^{2}[/tex] has a degree of two, so it goes in the blue bubble alone in 1.
[tex]x^{2}[/tex] + 5 is a binomial, has a degree of 2, and has the + 5 constant. So, it goes in all three bubbles in 7.
Hope this helps!
