Q. 74.0( 18 Votes )

Write the following polynomials in coefficient form.

i. x3 – 2

ii. 5y

iii. 2m4 – 3m2 + 7

iv.

Answer :

i. In the coefficient form of the polynomial, the coefficient of each term of the variable present or absent is written inside the simple brackets. So the coefficient form is as follows:

x3 -2 = x3 + 0x2 + 0x – 2


The given polynomial in coefficient form is:


(1, 0, 0, -2)


ii. In the coefficient form of the polynomial, the coefficient of each term of the variable present or absent is written inside the simple brackets. So the coefficient form is as follows:


5y = 5.y + 0


Therefore, the given polynomial in coefficient form is:


(5, 0)


iii. In the coefficient form of the polynomial, the coefficient of each term of the variable present or absent is written inside the simple brackets. So, the coefficient form is as follows


2m4 – 3m2 + 7 = 2.m4 + 0.m3 – 3.m2 + 0.m + 7


Therefore, the given polynomial in coefficient form is:


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


iv. In the coefficient form of the polynomial, the coefficient of each term of the variable present or absent is written inside the simple brackets.


Now in this case all the powers of the variable are zero and only the constant is present.


So the coefficient form is as follows:


(-2/3)


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