Factor. x2+5x−14 polynomials and binomials

Step-by-step explanation:

The given expression is

To factor this expression, we need to use the quadratic formula

Where

Replacing this values, we have

This expression represents two solutions

If we express these solutions as binomials, they would be

Therefore, the answer is

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form