Question

simplify: x²+11x+24
________
x+8​

Answer 1

Answer:

Simplifying x2 + 11x + 24 = 0 Reorder the terms: 24 + 11x + x2 = 0 Solving 24 + 11x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + x)(3 + x) = 0

Subproblem 1

Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8

Subproblem 2

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Solution

x = {-8, -3}

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

x²+11x+24

split the middle term

x²+11x+24

x²+3x+8x+24

x(x+3)+8(x+3)

(x+3)(x+8)

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