Write the coefficients of x2 in each of the following:
(i) 2 + x2 + x
(ii) 2 – x2 + x3
(iii) (/2)x2 + x
(iv) √2x - 1
(i) 2 + x2 + x
The equation 2 + x2 + x can be written as 2 + (1)x2 + x
We know that, coefficient is the number which multiplies the variable.
Here, the number that multiplies the variable x2 is 1, the coefficients of x2 in 2 + x2 + x is 1.
(ii) 2 – x2 + x3
The equation 2 – x2 + x3 can be written as 2 + (–1)x2 + x3
We know that, coefficient is the number (along with its sign, i.e., – or +) which multiplies the variable.
Here, the number that multiplies the variable x2 is -1 the coefficients of x2 in 2–x2+x3 is -1.
(iii) (/2)x2 + x
The equation (/2)x2 + x can be written as (/2)x2 + x
We know that, coefficient is the number (along with its sign, i.e., – or +) which multiplies the variable.
Here, the number that multiplies the variable x2 is /2.
the coefficients of x2 in (/2)x2 +x is /2.
(iv)√2x-1
The equation √2x - 1 can be written as 0x2 + √2x - 1 [Since 0x2 is 0]
We know that, coefficient is the number (along with its sign, i.e., – or +) which multiplies the variable.
Here, the number that multiplies the variable x2 is 0, the coefficients of x2 in √2x - 1 is 0.