Math, asked by khimkhimprasad, 8 months ago

factorise 2x^3-5x^2-19x-42


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khimkhimprasad: Fast I need right solution

Answers

Answered by nayan505
2

Answer:

2x³-5x²-19x+42 is to be factorised.So correct your question.....with -42 it will not get factorised

Step-by-step explanation:

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Answered by kush193874
3

Answer:

Answer:

factors of 42 ----> ±1, ±2, ±3, ±6, ±7

f(1) = 2(1) {}^{3} - 5(1) {}^{2}   - 19(1) + 42 \\  \\  = 2 - 5 - 19 + 42  ≠ 0

f( - 1) = 2( - 1) {}^{3}  - 5( -1 ) - 19( - ) + 42 \\  \\  =  - 3 - 5 + 19 + 42 ≠ 0

f( - 2) = 2( - 2) {}^{3}  - 5( - 2) {}^{2}  - 19( - 12) + 42 \\  \\  =  - 16 - 20 + 19 + 42  \\  \\  ≠ 0

f(2) = 2(2) {}^{3}  - 5(2) {}^{2}  - 19(2) + 42 \\  \\  = 16 - 20 - 38 + 4

x = 2 is zero

Therefore, (x – 2) is factor.

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