Question

p(x) = (x + 1) (x + 2), x = -1, 2​

Answer 1

Simplifying

P(x) = (x2 + 9)(x + 3)

Multiply P * x

xP = (x2 + 9)(x + 3)

Reorder the terms:

xP = (9 + x2)(x + 3)

Reorder the terms:

xP = (9 + x2)(3 + x)

Multiply (9 + x2) * (3 + x)

xP = (9(3 + x) + x2(3 + x))

xP = ((3 * 9 + x * 9) + x2(3 + x))

xP = ((27 + 9x) + x2(3 + x))

xP = (27 + 9x + (3 * x2 + x * x2))

xP = (27 + 9x + (3x2 + x3))

xP = (27 + 9x + 3x2 + x3)

Solving

xP = 27 + 9x + 3x2 + x3

Solving for variable 'x'.

Reorder the terms:

-27 + -9x + xP + -3x2 + -1x3 = 27 + 9x + 3x2 + x3 + -27 + -9x + -3x2 + -1x3

Reorder the terms:

-27 + -9x + xP + -3x2 + -1x3 = 27 + -27 + 9x + -9x + 3x2 + -3x2 + x3 + -1x3

Combine like terms: 27 + -27 = 0

-27 + -9x + xP + -3x2 + -1x3 = 0 + 9x + -9x + 3x2 + -3x2 + x3 + -1x3

-27 + -9x + xP + -3x2 + -1x3 = 9x + -9x + 3x2 + -3x2 + x3 + -1x3

Combine like terms: 9x + -9x = 0

-27 + -9x + xP + -3x2 + -1x3 = 0 + 3x2 + -3x2 + x3 + -1x3

-27 + -9x + xP + -3x2 + -1x3 = 3x2 + -3x2 + x3 + -1x3

Combine like terms: 3x2 + -3x2 = 0

-27 + -9x + xP + -3x2 + -1x3 = 0 + x3 + -1x3

-27 + -9x + xP + -3x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0

-27 + -9x + xP + -3x2 + -1x3 = 0

The solution to this equation could not