Question

Simplify: x(x ^ 2 + x + 1) - 6 and find its value for: i) ii) iv) x = 0 x = 1 x = - 1 x = 2​

Answer 1

Topic : Algebra

Given : x(x² + x + 1) - 6

Solve for :

• Simplification.
• Value at x = 0, 1, -1 and 2.

Solution :

For simplification of given expression, we need to multiply,

Simplifying

x(x² + x + 1) - 6

x(x²) + x(x) + x(1) - 6

x³ + x² + x - 6 . . . . . . ( Simplified Value )

Calculating values for given values,

We will put given value in place of 'x' to get value of whole expression.

i) x = 0

Put x = 0, in obtained expression,

x³ + x² + x - 6

(0)³ + (0)² + (0) - 6

0 + 0 + 0 - 6

-6

ii) x = 1

Put x = 1, in obtained expression,

x³ + x² + x - 6

(1)³ + (1)² + 1 - 6

1 + 1 + 1 - 6

3 - 6

-3

iii) x = -1

Put x = -1, in obtained expression,

x³ + x² + x - 6

(-1)³ + (-1)² + (-1) - 6

-1 + 1 - 1 - 6

1 - 8

-7

iv ) x = 2

Put x = 2, in obtained expression,

x³ + x² + x - 6

(2)³ + (2)² + 2 - 6

8 + 4 + 2 - 6

14 - 6

8

Answer :

• Simplified value : x³ + x² + x - 6
• Respective value for given values are -6, -3, -7 and 8.