Word Count : 133

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Consider the polynomial (f(x)=x^{7}+15x^{2}-30x+\alpha\in \mathbb{Q}[x]). Apply Eisenstein’s criterion with the prime (p=5). The leading coefficient (1) is not divisible by (5). The coefficients of (x^{2}) and _______ ______ ______ _________ __________ _________ _______ _________ _____ _______ _____.
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