write quadratic equation whose roots are 4 and -3 and whose leading coefficient is 5 use the letter X to represent the variable
1 answer:
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Option B:
Option D:
Solution:
<em><u>Polynomial definition:</u></em>
A polynomial can have constants, variables and exponents and fractional coefficient.
A polynomial cannot have fractional exponent, negative exponent and never division by a variable.
To select the expressions that would be considered as a polynomial.
Option A:
√x is not, because the exponent is ½. Fractional exponents are not polynomials.
This is not a polynomial.
Option B:
A polynomial can have constants, variables and exponents.
This is a polynomial.
Option C:
Fractional exponents are not polynomials.
This is not a polynomial.
Option D:
Fractional coefficients are allowed.
This is a polynomial.
Hence and
are polynomial.