Write the coefficient of x² in each of the following expressions:

i. 12 + 3x + 5x²

ii. 7-11x + x³

iii. √3x-7

iv.

Coefficient means the term with the variable i.e. the number multiplied with variable with its sign positive or negative

i. 12 + 3x + 5x²

the term with x² is 5 hence the coefficient of x² in 12 + 3x + 5x² is 5

ii. 7 – 11x + x³

the polynomial 7 – 11x + x³ can be written as 7 – 11x + 0x² + x³

the term with x² is 0 hence the coefficient of x² in 7 - 11x + x³ is 0

iii. √3x – 7

the polynomial √3x – 7 can be written as 0x² + √3x – 7

the term with x² is 0 hence the coefficient of x² in √3x – 7 is 0

iv.

the term with x² is hence the coefficient of x² in is