## A First Course in Algebra ; A Second Course in Algebra |

### Common terms and phrases

ab+b² ab² added algebraic angle arithmetic arithmetic means ax² binomial Binomial Theorem change the sign common factor Commutative Law Consider the equation coördinates cube root decimal derive the formulæ digits Divide dividend division divisor equal numbers equivalent example EXERCISE exponent feet Find the number Find the square Find the value geometric progression given equation graph Hence IMAGINARY NUMBERS last term logarithm mantissa monomial negative number of dollars number of terms parentheses perfect square polynomial positive integer positive number quadratic equation quadratic surd quotient radical sign ratio rational and integral Reduce remainder satisfy second degree second term solution Solve the equation square root Substituting subtract Transposing triangle trinomial unknown numbers Whence x²+4 x²y

### Popular passages

Page 44 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 59 - A trinomial is a perfect square if the first and last terms are perfect squares and positive, and the middle term is twice the product of the square roots of the first and last terms (§ 61, p.

Page 39 - 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.

Page 83 - In any proportion, the terms are in proportion by Composition ; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term.

Page 104 - Divide this remainder by three times the square of the part of the root already found, with two ciphers annexed, and write the quotient as the next figure of the root.

Page 58 - ... the square of the second. _ Again, (a — by = (a — 5) (a — 5) = a2 — 2a6 + 52. (2) That is, The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.

Page 21 - RULE To subtract one number from another, change the sign of the./ subtrahend and add algebraically.

Page 90 - One quantity is said to vary directly as a second and inversely as a third, when it varies jointly as the second and the reciprocal of the third. Thus...

Page 104 - Multiply the complete divisor by the term of the root last obtained, and subtract the product from the remainder. If...

Page 86 - To Reduce a Fraction to its Lowest Terms. A fraction is said to be in its lowest terms when its numerator and denominator are prime to each other (§ 111).