Question

5 on the number line
2) Complete the table according
to the instructions.
P(m) = 3m5-7m +5m3 +2
i) Write the polynomial in
standard form
ii) Write the polynomial in
index form
iii) Write the polynomial in
coefficient form
iv) Write the degree of the
polynomial
om dit
31 Sbo​

Answer 1

Answer:

hope it helps

Step-by-step explanation:

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Answer 2

Given:

A polynomial P(m) = 3m5-7m +5m3 +2.

To find:

Answers to the above questions.

Solution:

The answers to the above questions are given below:

(i) The polynomial in standard form is:

$P(m) = 3 {m}^{5} + 5 {m}^{3} - 7m + 2$

(ii) The index form of a polynomial represents the entire polynomial that also includes the power of the variable (such as 'm' in the given polynomial P) having zero coefficients.

Hence, the index form of the given polynomial is:

$P(m) = 3 {m}^{5} + 0 {m}^{4} + 5 {m}^{3} + 0 {m}^{2} - 7m + 2$

(iii) The coefficient form of a polynomial represents the set of entire coefficients of the given polynomial including the coefficients of terms that are not contained in the given polynomial.

Hence, the coefficient form of the given polynomial is:

$(3, 0, 5, 0, - 7, 2)$

(iv) The degree of a polynomial is the highest power of the variable present in the given polynomial.

Hence, the degree of the given polynomial is 5.