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ValentinkaMS [17]
3 years ago
15

Hi:) I need help with 1(a) , thank you so much :)))!

Mathematics
1 answer:
Shtirlitz [24]3 years ago
5 0

Answer:

-3>_ x >_ -2

Step-by-step explanation:

x(x+5)>_  -6

Open the bracket

x² + 5x >_  -6

x² +5x + 6 >_  0

Solve quadratically using factorisation method

Factors of 6 that sum up to +5. ( 2 and 3)

x² + 2x + 3x + 6 >_  0

Factorise

x(x + 2) +3(x + 2) >_ 0

(x+2)(x+3) >_ 0

Therefore

x + 2 >_ 0    or  x +3 >_ 0

x>_ -2   or x >_ -3

-3>_ x >_ -2

I hope this was helpful, please mark as brainliest

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<span> (x + 3) • (x - 12)
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The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
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The last term, "the constant", is <span> -36 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span> 

Step-2 : Find two factors of  -36  whose sum equals the coefficient of the middle term, which is  <span> -9 </span>.

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Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -12  and  3 
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Step-4 : Add up the first 2 terms, pulling out like factors :
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              Add up the last 2 terms, pulling out common factors :
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Step-5 : Add up the four terms of step 4 :
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