1. Identify the name and label the parts of the following polynomial: -2x4+24x2-10a.Name the polynomial by degree and number of termsb.Identify the lead coefficientc.Identify the constant termd.Identify the degree of the middle term2. Give an example of a cubic binomial polynomial3. How many constants can a polynomial have? Explain your answer.4.Explain in detail why the degree of the polynomial below is not 6. 3x2+6xy-10x5+y6-10x3y5
Accepted Solution
A:
Please write this polynomial as P(x) = -2x^4+24x^2-10, using " ^ " to denote exponentiation.
This is a fourth degree polynomial, since the highest power of x is 4. Ordinarily, a fourth degree poly would have 5 terms, but here two of the coefficients of the powers of x are zero, leaving only 3 terms.
The lead coeff. of P(x) = -2x^4+24x^2-10 is -2.
The constant terms is -10. The exponent of x here is zero (0).
The degree of the middle term is 2 (see 24x^2, above)
Would you please post your other questions separately. Thank you.