College Algebra
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In our eReader you can find the full English version of the book. Read College Algebra Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book College Algebra
What reading level is College Algebra book?
To quickly assess the difficulty of the text, read a short excerpt:
a: 4 + 3^ -4a; -10 = 0. 6. X s +20^-5^ + 7 = 0.
671. If two real numbers, a and b, not roots of the equation f{x) = x n +p 1 x"~ 1 + ... +p n _ 1 x +p n = 0, when substituted for x in f(x), give results of opposite sign, an odd number of roots off(x) = lie between a and b.
THEORY OF EQUATIONS. 483 Let a be algebraically greater than 6.
Let d, ..., g be the real roots of f(x) = lying between a and b, and h,...,k the remaining real roots.
Then by Art. 636, f(x) = (x-d)...{x-g).(x-h)...(x-k).F(x),... (1) where F(x) is the product of the factors corresponding to the imaginary roots of f(x) = 0.
Substituting a and b for x in (1), we have (Art. 628), f(a) = (a-d)-(a-g)-(a-h)-(a-k)-F(a), and f(b)=(b-d)-(b-g)-(b-h)-(b-k)-F(b).
Since each of the quantities d, ..., g is less than a and greater than b, each of the factors a — d, ..., a — g is posi- tive, and each of the factors b — d, ..., b — g is negative.
Again, since none of the quantities h, ..., fc lie between a and &, the expression (a — 7i) • • • (a — fc) has the same sign as (b-h) — (b-k).
What to read after College Algebra?
You can find similar books in the "Read Also" column, or choose other free books by Webster Wells to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
a: 4 + 3^ -4a; -10 = 0. 6. X s +20^-5^ + 7 = 0.
671. If two real numbers, a and b, not roots of the equation f{x) = x n +p 1 x"~ 1 + ... +p n _ 1 x +p n = 0, when substituted for x in f(x), give results of opposite sign, an odd number of roots off(x) = lie between a and b.
THEORY OF EQUATIONS. 483 Let a be algebraically greater than 6.
Let d, ..., g be the real roots of f(x) = lying between a and b, and h,...,k the remaining real roots.
Then by Art. 636, f(x) = (x-d)...{x-g).(x-h)...(x-k).F(x),... (1) where F(x) is the product of the factors corresponding to the imaginary roots of f(x) = 0.
Substituting a and b for x in (1), we have (Art. 628), f(a) = (a-d)-(a-g)-(a-h)-(a-k)-F(a), and f(b)=(b-d)-(b-g)-(b-h)-(b-k)-F(b).
Since each of the quantities d, ..., g is less than a and greater than b, each of the factors a — d, ..., a — g is posi- tive, and each of the factors b — d, ..., b — g is negative.
Again, since none of the quantities h, ..., fc lie between a and &, the expression (a — 7i) • • • (a — fc) has the same sign as (b-h) — (b-k).
What to read after College Algebra?
You can find similar books in the "Read Also" column, or choose other free books by Webster Wells to read onlineMoreLess
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