Polynomials which can be solved using quadratic equation have to be of degree 2. In the form ax² + bx + c = 0. Hence, only equations B and D can be solved using the quadratic formula.
Equation A :
5x + 4 = 3x³ - 2
Move the values to one side
3x³ - 5x - 6 = 0
B.)
3x² + 9x + 3x² = 14 + x - 1
6x² + 9x - x = 13
6x² + 8x - 13 = 0
C)
-x³ + 4x + 7 = 2x² - 9
-x³ - 2x² + 4x + 7 + 9 = 0
-x³ - 2x² + 4x + 16 = 0
D.)
x² + x + 2 = 0
Therefore, only equations B and D can be solved using the quadratic formula
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