Løs -000002(x-12)^2(x-17)(x-9)(x-2)(x+4)(x^2+3)

$$- 000002 ( x - 12 ) ^ { 2 } ( x - 17 ) ( x - 9 ) ( x - 2 ) ( x + 4 ) ( x ^ { 2 } + 3 )$$

Evaluer

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Løsningsvejledning

Multiplicer 0 og 0 for at få 0.

$$0\times 0\times 0\times 0\times 2\left(x-12\right)^{2}\left(x-17\right)\left(x-9\right)\left(x-2\right)\left(x+4\right)\left(x^{2}+3\right)$$

Multiplicer 0 og 0 for at få 0.

$$0\times 0\times 0\times 2\left(x-12\right)^{2}\left(x-17\right)\left(x-9\right)\left(x-2\right)\left(x+4\right)\left(x^{2}+3\right)$$

Multiplicer 0 og 0 for at få 0.

$$0\times 0\times 2\left(x-12\right)^{2}\left(x-17\right)\left(x-9\right)\left(x-2\right)\left(x+4\right)\left(x^{2}+3\right)$$

Multiplicer 0 og 0 for at få 0.

$$0\times 2\left(x-12\right)^{2}\left(x-17\right)\left(x-9\right)\left(x-2\right)\left(x+4\right)\left(x^{2}+3\right)$$

Multiplicer 0 og 2 for at få 0.

$$0\left(x-12\right)^{2}\left(x-17\right)\left(x-9\right)\left(x-2\right)\left(x+4\right)\left(x^{2}+3\right)$$

Brug binomialsætningen \left(a-b\right)^{2}=a^{2}-2ab+b^{2} til at udvide \left(x-12\right)^{2}.

$$0\left(x^{2}-24x+144\right)\left(x-17\right)\left(x-9\right)\left(x-2\right)\left(x+4\right)\left(x^{2}+3\right)$$

Ethvert tal gange nul giver nul.

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Faktoriser

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