Solve each quadratic equation
solve for x
1. x2 - 2x - 24 = 0

Step-by-step explanation:

x² -2x-24=0

a=1 and b=-2 and c=-24

Δ : b²-4ac       Δ = (-2)²-4(1)(-24) = 4+96 =100

Solution of a quadratic equation ax² + bx + c = 0

x = [-b ± v(b² - 4ac)]/2a    

Δ = b²- 4ac            continu      

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- 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

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