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Greyson Swaniawski

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โˆ™ 2021-02-26 23:57:46
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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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โˆ™ 2010-11-03 21:35:09

This brings you into the realm of complex numbers.

Let the two numbers be a and b.

Then, a + b = 12....Equation (1)

and, ab = 1008 .....so b = 1008/a

Substituting for b in Equation (1)

a + 1008/a = 12...........now multiply throughout by a and equate to zero.

a2 -12a + 1008 = 0

This can be solved using the quadratic formula

a = [12 ± √ (144 - 4032)] ÷ 2 = 6 ± i31.177 (3dp)

The two (complex) numbers are 6 + i31.177 and 6 - i31.177.

Check : (6 + i31.177) + (6 - i31.177) = 12

(6 + i31.177)(6 - i31.177) = 36 + 972 = 1008

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Q: What numbers multiply to get 1008 and add to get 12?
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