Question

2. p(m) = 3m - 7m + 5m² + 2
Write the polynomial in standard form
Write it in index form by considering missing
coefficient as zero
Write it in coefficient form
Degree of the polynomial​

Answer 1

Answer:

11 is correct answer

Answer 2

Given :

polynomial

p ( m) = 3m - 7m + 5m² + 2

To Find:

( i) Write the polynomial in standard form

( ii) write in index form by considering missing coefficient as 0.

( iii ) Write it in coefficient form.

( iv ) Write Degree of the polynomial.

Solution

p ( m) = 3m³ - 7m + 5m² + 2

standard form of polynomial

p(m) = 3m³ -7m + 5m² +2

(i) 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) = 3m³ + 5m² - 7m + 2

(ii) 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, 5, -7, , 2)

(iv) The degree of a polynomial is the

highest power of the variable present in

the given polynomial.

Degree of polynomial is 3.

Hence the standard form of polynomial is -

P(m) = 3m³ -7m + 5m² + 2

Index form of polynomial is -

P(m) = 3m³ + 5m² - 7m + 2

coefficient form of polynomial is

( 3, 5, -7, 2)

Degree of polynomial is 3.