Please help!! Medal! Hiw can I solve this?? f(x)=8x^3+14x^2+11x+3

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Please help!! Medal! Hiw can I solve this?? f(x)=8x^3+14x^2+11x+3

Mathematics
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Fund the number of zeros of the polynomial function.
hint: what is the highest exponent?
3

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Other answers:

derivatives.
rational root thrm might prove useful as well
real zeros, or zeros in general?
Rational zeros??
rational numbers are real numbers ...
Teach me how to solve this cuz i never solve like this equation before
the number of zeroes is determined by the degree of the polynomial the value of the zeroes is a different story
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\[f \left( x \right)=8x^3+14x^2+11x+3\] \[=8x^3+4x^2+10x^2+5x+6x+3\] \[=4x^2(2x+1)+5x(2x+1)+3(2x+1)\] \[=(2x+1)( 4x^2+5x+3) \]

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