Check the picture below.
Puzzle One
1 answer:
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Answer:
5/12
Step-by-step explanation:
Given that,
Total no of cards = 12 with numbers 1 to 12
We need to find the probability of getting 5.
Probability = favourable outcomes/total no of outcomes
Favourable outcomes is 5 as it come one time
Total no of outcome = 12 (total no of cards)
So,
Hence, the probability of getting 5 is 5/12.
Answer:
x^4 -53x^2 +108x +160
Step-by-step explanation:
If <em>a</em> is a zero, then (<em>x-a</em>) is a factor. For the given zeros, the factors are ...
p(x) = (x +8)(x +1)(x -4)(x -5)
Multiplying these out gives the polynomial in standard form.
= (x^2 +9x +8)(x^2 -9x +20)
We note that these factors have a sum and difference with the same pair of values, x^2 and 9x. We can use the special form for the product of these to simplify our working out.
= (x^2 +9x)(x^2 -9x) +20(x^2 +9x) +8(x^2 -9x) +8(20)
= x^4 -81x^2 +20x^2 +180x +8x^2 -72x +160
p(x) = x^4 -53x^2 +108x +160
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The graph shows this polynomial has the required zeros.
