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- Polynomials p(x) = 2ax2 - 4x + 2 and
g(x) = (5 + a)x2 - 4x + 2 are equal to each other. Find the value of a.​

Sagot :

[tex]p(x) = g(x) \\ = > 2 {ax}^{2} - 4x + 2 = (5 + a) {x}^{2} - 4x + 2 \\ = > 2 {ax}^{2} - 4x + 2 = 5 {x}^{2} + {ax}^{2} - 4x + 2 \\ = > 2 {ax}^{2} - {ax}^{2} - {5x}^{2} - 4x + 4x = 2 - 2 \\ = > {ax}^{2} - 5 {x}^{2} = 0 \\ = > {x}^{2} (a - 5) = 0 \\ = a - 5 = 0 \\ = > a = 5[/tex]

Answer:

a = 5

Hope you could understand.

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