Polynomials of Degree-n

Polynomials of Degree-n
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In general, a polynomial in one variable and of degree n will have the following form:

$p\left( x \right):{a_n}{x^n} + {a_{n - 1}}{x^{n - 1}} + ... + {a_1}x + {a_0},\,\,\,{a_n} \ne 0$

We see that the maximum number of terms in a polynomial of degree n can be 1 more than n.

As shown above, the coefficients in a polynomial of degree n are generally represented as:

${a_n},{a_{n - 1}},...,{a_1},{a_0}$

Also, we must have $${a_n} \ne {\rm{0}}$$ otherwise the polynomial will not be of degree n.

Polynomials
Grade 9 | Questions Set 1
Polynomials
Polynomials
Grade 10 | Questions Set 1
Polynomials