# If p(x) = 5x7 – 6x5 + 7x - 6, find(i) coefficient of x5(ii) degree of p(x)(iii) constant term.

(i) A coefficient is a multiplicative factor in some term of a polynomial. It is the constant (-6 here) written before the variable (x5 here).

The coefficient of x5 is -6.

(ii) Degree of p(x) is the highest power of x in p(x).

The degree of p(x) is 7.

(iii) The term that is not attached to a variable (i.e., x) is -6.

The constant term is -6.

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RELATED QUESTIONS :

State which of the following statements are true and which are false? Give reasons for your choice.

(ii) The coefficient of x2 in the polynomial p(x) = 3x3 – 4x2 + 5x + 7 is 2.

(iii) The degree of a constant term is zero.