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1) 5x³ - 5x² - 10x = 0
[tex]x = 2 \\x = - 1\\x = 0[/tex]
2) x³ - 7x² - 16x + 112 = 0
[tex]x = 7\\x = 4 \\x = - 4[/tex]
Step-by-step explanation:
The Rational Root Theorem states that if a polynomial has integer coefficients, then every rational zero of f(x) has the form p/q where p is a factor of the trailing constant a0 and q is a factor of the leading coefficient an. When the leading coefficient is 1, the possible rational zeros are the factors of the constant term.