Chapter 5 Polynomials and Polynomial Functions - 5.7 Apply the Fundamental Theorem of Algebra - 5.7 Exercises - Skill Practice - Page 384: 41

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Given: $f(x)=x^7+4x^4-10x+25$ This has 2 sign changes. Therefore, it will have $2$ or $0$ positive real zeros. $f(-x)=(-x)^7+4(-x)^4-10(-x)+25\\=-x^7+4x^4+10x+25$ This has 1 sign change. Therefore, it will have $1$ negative real zero.