Q. 14.0( 29 Votes )
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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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.
(iv) is a quadratic polynomial.
(v) The degree of a polynomial is one more than the number of terms in it.AP- Mathematics