2. Consider the following set of linear polynomials with rational coefficients: E₁ = {ax+b|a,b € Q, a #0} (a). [10 point

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2 Consider The Following Set Of Linear Polynomials With Rational Coefficients E Ax B A B Q A 0 A 10 Point 1 (16.48 KiB) Viewed 21 times

2. Consider the following set of linear polynomials with rational coefficients: E₁ = {ax+b|a,b € Q, a #0} (a). [10 points] Prove that E₁ is countably infinite. (b). [10 points] In general, let En denote the set of polynomials of degree n with rational coefficients. Prove that En is countably infinite for all n ≥ 0.