Elementary Algebra: First[-second] Year Course, Libro 2Macmillan Company, 1916 |
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Página 32
... rational integral algebraic expression is one containing no fractions , no negative exponents , and no indicated roots . 2 + 3 ax + x3 is a rational integral expression ; } x2 + ‡ x + 1 , x − 2 + 5 , √a + x + y , x + 10 , are not ...
... rational integral algebraic expression is one containing no fractions , no negative exponents , and no indicated roots . 2 + 3 ax + x3 is a rational integral expression ; } x2 + ‡ x + 1 , x − 2 + 5 , √a + x + y , x + 10 , are not ...
Página 59
... rational integral expression in x is divided by x a , the remainder is the same as the original ex- pression with a substituted for x . ― - - Now 23 5 x2 + 7x 2 would be exactly divisible by x if a3 5 a2 + 7 a 2 = 0 . — - - α , Hence ...
... rational integral expression in x is divided by x a , the remainder is the same as the original ex- pression with a substituted for x . ― - - Now 23 5 x2 + 7x 2 would be exactly divisible by x if a3 5 a2 + 7 a 2 = 0 . — - - α , Hence ...
Página 60
... rational integral expressions , x2 + axn − 1 + bxn − 2 + ... + hx + k . The theorem , which we give without proof , is as follows : When a rational integral expression has 1 as the coefficient of the highest power of x , and the other ...
... rational integral expressions , x2 + axn − 1 + bxn − 2 + ... + hx + k . The theorem , which we give without proof , is as follows : When a rational integral expression has 1 as the coefficient of the highest power of x , and the other ...
Página 61
... rational integral expression , with 1 as the coefficient of the highest power of x , and with all other coefficients integers , is exactly divisible by xa , where a is an integer , what relation is a to the last term ? 9. Find a factor ...
... rational integral expression , with 1 as the coefficient of the highest power of x , and with all other coefficients integers , is exactly divisible by xa , where a is an integer , what relation is a to the last term ? 9. Find a factor ...
Página 62
... rational and real factors : a2 + b2 cannot be factored . a + b cannot be factored . a® + b = ( a2 + b2 ) ( a1 — a2b2 + b1 ) . a8b8 cannot be factored . NOTE . The sum of the same two even powers of two numbers may be factored , if the ...
... rational and real factors : a2 + b2 cannot be factored . a + b cannot be factored . a® + b = ( a2 + b2 ) ( a1 — a2b2 + b1 ) . a8b8 cannot be factored . NOTE . The sum of the same two even powers of two numbers may be factored , if the ...
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Elementary Algebra: First[-Second] Year Course, Volume 1 - Primary ..., Volumen1 Florian Cajori,Letitia Rebekah Odell Sin vista previa disponible - 2013 |
Términos y frases comunes
a²b² a²x² a³x ab² addition and subtraction arithmetical means arithmetical series ax² ax³ binomial BINOMIAL THEOREM called coefficients commutative law complete divisor completing the square coördinates cube root decimal places digits Divide both sides dividend exponent Find the h. c. f. Find the square Find the sum fixed number formula geometrical series given equation Hence Hindu-Arabic numerals imaginary numbers inches linear equation locates the point logarithms mantissa Multiply negative numbers nth root number of terms obtain parenthesis preceded Perform the indicated polynomial positive integer positive numbers principal root quadratic equation quotient radical rational integral expression remainder Simplify solution Solve square root Substitute theorem tions trial divisor Type form Univ variable weight WRITTEN EXERCISES zero
Pasajes populares
Página 5 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Página 83 - In any proportion, the product of the means is equal to the product of the extremes.
Página 37 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Página 111 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Página 194 - A person engaged to work a days on these conditions: for each day he worked he was to receive b cents, and for each day he was idle he was to forfeit с cents. At the end of a days he received d cents. How many days was he idle?
Página 5 - Multiply each term of the multiplicand by each term of the multiplier, and add the partial products.
Página 181 - In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term.
Página 35 - Both terms of a fraction may be divided by the same number without changing the value of the fraction.
Página 86 - Why is va function of t ? 2. The area of a circle is given by the formula A = irr2.
Página 22 - The positive square root of a number is called the principal square root.