Question

For which expression is the sum of the constants greater than the sum of the coefficients?

7+3x^2+7x+3
7+4x^2+4x+1
8+4x^2+8x+2
8+3x^2+7x+4

Answer 1

`8+3x^2+7x+4`

Explanation:

The first expression is

`7+3x^2+7x+3`

The sum of the constants is 7+3=10

The sum of the coefficients is 3+7=10

The second expression is;

`7+4x^2+4x+1`

The sum of the constants is 7+1=8

The sum of the coefficients is 4+4=8

The third expression is;

`8+4x^2+8x+2`

The sum of the constants is 8+2=10

The sum of the coefficients is 4+8=12

The fourth expression is;

`8+3x^2+7x+4`

The sum of the constants is 8+4=12

The sum of the coefficients is 3+7=10

Hence the correct choice is the expression in which the sum of the constants greater than the sum of the coefficients