Factor the expression by grouping. First, the expression needs to be rewritten as x^{2}+ax+bx-27. To find a and b, set up a system to be solved.

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Since ab is negative, a and b have the opposite signs. Since a+b is negative, the negative number has greater absolute value than the positive. List all such integer pairs that give product -27.

x2-6x-27 Final result : (x + 3) • (x – 9) Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2-6x-27 The first term is, x2 its coefficient is …

8×2-6x-27 Final result : (4x – 9) • (2x + 3) Step by step solution : Step 1 :Equation at the end of step 1 : (23×2 – 6x) – 27 Step 2 :Trying to factor by splitting the middle term …

x2-6x-27=0 Two solutions were found : x = 9 x = -3 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2-6x-27 The first term is, x2 its …

2×2-6x-20 Final result : 2 • (x + 2) • (x – 5) Step by step solution : Step 1 :Equation at the end of step 1 : (2×2 – 6x) – 20 Step 2 : Step 3 :Pulling out like terms : 3.1 Pull out …

-3×2-6x-2 Final result : -3×2 – 6x – 2 Step by step solution : Step 1 :Equation at the end of step 1 : ((0 – 3×2) – 6x) – 2 Step 2 : Step 3 :Pulling out like terms : 3.1 Pull out like …

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x2-6x-2=0 Two solutions were found : x =(6-√44)/2=3-√ 11 = -0.317 x =(6+√44)/2=3+√ 11 = 6.317 Step by step solution : Step 1 :Trying to factor by splitting the middle term …

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Factor the expression by grouping. First, the expression needs to be rewritten as x^{2}+ax+bx-27. To find a and b, set up a system to be solved.

Since ab is negative, a and b have the opposite signs. Since a+b is negative, the negative number has greater absolute value than the positive. List all such integer pairs that give product -27.

Quadratic polynomial can be factored using the transformation ax^{2}+bx+c=aleft(x-x_{1}

ight)left(x-x_{2}

ight), where x_{1} and x_{2} are the solutions of the quadratic equation ax^{2}+bx+c=0.

All equations of the form ax^{2}+bx+c=0 can be solved using the quadratic formula: frac{-b±sqrt{b^{2}-4ac}}{2a}. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

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Factor the original expression using ax^{2}+bx+c=aleft(x-x_{1}

ight)left(x-x_{2}

ight). Substitute 9 for x_{1} and -3 for x_{2}.

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