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PilotLPTM [1.2K]
1 year ago
15

Leon evaluated the expression (–4a – 6) + a2 for a = 8. (-4(8) - 6) + 82 (-32-6) + 82 (-38) + 82 (-38) + 16 –19 + 16 –3 Analyze

Leon's work. Check all that apply. Leon should have subtracted inside the parentheses before he multiplied. The expression inside the parentheses should be simplified to –26 instead of –38. Leon multiplied 8 by 2 when he should have raised 8 to a power of 2. The multiplication of two negative values in step 4 should result in a positive value. The correct answer should be 35.
Mathematics
2 answers:
zhuklara [117]1 year ago
7 0

Answer:

Option 3 is correct as  Leon multiplied 8 by 2 when he should have raised 8 to a power of 2.

Step-by-step explanation:

Given : Leon evaluated the expression (-4a-6)+a^2 for a=8

(-4(8) - 6) + 82 ,  (-32-6) + 82 , (-38) + 82 ,  (-38) + 16 –19 + 16 –3

Leon's work is not so proper , Option 3 is correct as  Leon multiplied 8 by 2 when he should have raised 8 to a power of 2.

Correct steps are :

Step 1 :    (-4a-6)+a^2

Step 2 : Put a=8 in the equation we get,

=(-4(8)-6)+8^2

=(-32-6)+8^2

=-38+8^2

=-38+64

=26  

Therefore, correct answer is 26.

madreJ [45]1 year ago
4 0
The answer is...
Leon multiplied 8 by 2 when he should have raised 8 to a power of 2.
Or
The multiplication of two negative values in step 4 should result in a positive value.
Both are correct
Hope this helped
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Which is a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 + 24x – 35?
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<span>I note that this problem starts out with "Which is a factor of ... "  This implies that you were given several answer choices.  If that's the case, it's unfortunate that you haven't shared them.

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f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35
Please use " ^ " to denote exponentiation.  Thanks.

Possible zeros of this poly are factors of 35:  plus or minus 1, plus or minus 5, plus or minus 7.  Use synthetic division; determine whether or not there is a non-zero remainder in each case.  If none of these work, form rational divisors from 35 and 6 and try them:  5/6, 7/6, 1/6, etc.

Provided that you have copied down the function 
</span>f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35  properly, this approach will eventually turn up 1 or 2 zeros of this poly.  Obviously it'd be much easier if you'd check out the possible answers given you with this problem.

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         ___________________________
7/2   /   6    -21    -4    24    -35
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        ----------- ------------------------------
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Because the remainder is zero, 7/2 (or 3.5) is a root of the polynomial.  Thus, (x-3.5), or (x-7/2), is a factor.

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