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astraxan [27]
2 years ago
12

Factorise the following x²-12+32

Mathematics
1 answer:
Tju [1.3M]2 years ago
6 0

Answer:

(x - 8) (x - 4)

Step-by-step explanation:

Find what adds to -12 but multiplies to 32

(x - 8) (x - 4)

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Houw would i factor this problem out completely?
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You can factor out a 3t first, resulting in:
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Now, let's factor the equation in the middle using the quadratic equation. Plug in the values to the quadratic equation:
\frac{-3\pm \sqrt{3^2-4(2)(-5)}}{2(2)} = -\frac{3\pm \sqrt{49}}{4} = -\frac{3\pm 7}{4}

Simplify, you get your x's:
x = 1, -\frac{5}{2}

To write the equation in simplified form, you just write it this way:
3t(x-1)(2x+5)

That's your answer ^
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