Use the boundedness theorem to determine whether the statement is true or false?

The polynomial f(x)=x^4-x^3+2x^2-4x-10 has no real zero less than -1





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Thanks!Use the boundedness theorem to determine whether the statement is true or false?
f(x) = x⁴ – x³ + 2x² – 4x –10


Possible zeroes: {± 10, ±5, ± 2, ± 1}





f(–10) = (–10)⁴ – (–10)³ + 2(–10)² – 4(–10) –10 = 11230


f(–5) = (–5)⁴ – (–5)³ + 2(–5)² – 4(–5) –10 = 810


f(–2) = (–2)⁴ – (–2)³ + 2(–2)² – 4(–2) –10 = 30


f(–1) = (–1)⁴ – (–1)³ + 2(–1)² – 4(–1) –10 = –2


f(1) = (1)⁴ – (1)³ + 2(1)² – 4(1) –10 = –12


f(2) = (2)⁴ – (2)³ + 2(2)² – 4(2) –10 = –2


f(5) = (5)⁴ – (5)³ + 2(5)² – 4(5) –10 = 520


f(10) = (10)⁴ – (10)³ + 2(10)² – 4(10) –10 = 9150





There are no rational zeroesUse the boundedness theorem to determine whether the statement is true or false?
Less than -1?! Yeah
True