...— , gives — . Hence, for the multiplication of polynomials we have the following RULE. Multiply all the terms of the multiplicand by each term of the multiplier, observing that in each multiplication like sigra give plus in the product, and unlike signs minus....

...multiplied together, the product must be positive. RULE FOR THE MULTIPLICATION OF POLYNOMIALS. 1. Multiply all the terms of the multiplicand by each term of the multiplier separately, according to the rule for the multiplication of monomials. 2. With regard to the signs,...

...Product, ax — ay-\-az-\-bx — by-{-bz — ccr-f-cy— ex Hence the following general RULE. Multiply all the terms of the multiplicand by each term of the multiplier, and add the partial products. EXAMPLES FOK PRACTICE. (1.) (2.) (3.) 3o — 2bc bx'y+Zxy' 4a*m — Bed*...

...Product, ax — ay-\-az-\-bx — by-\-bz — cx-\-cy — cz Hence the following general RULE. Multiply all the terms of the multiplicand by each term of the multiplier, and add the partial products. EXAMPLES FOR PRACTICE. (2.) (3.) 5x'y+Zxy* 4a'm—3ccP (5.) 12x*+ 8xy 6x'+3x'y—...

...Hence the RULE FOR MULTIPLICATION OF DUODECIMALS. Beginning with the lowest denomination, multiply all the terms of the multiplicand by each term of the multiplier separately; divide each product by 12 (except when the product is feet); write the remainder, and reserve...

...Hence the RULE FOR MULTIPLICATION OF DUODECIMALS. Beginning with the lowest denomination, multiply all the terms of the multiplicand by each term of the multiplier separately; divide each product by 12 (except when the product is feet); write the remainder, and reserve...

...separately, and Entire Product, ~2а2 + 5a6 + 362 adding the partial products. Hence the RULE. Multiply all the terms of the multiplicand by each term, of the multiplier separately, and add the partial products. EXAMPLES FOR PRACTICE. (5.) Multiply a+ b + с By x + у...

...+ 3№ adding the partial products. Hence Entire Product, 2a2 + 5вb + 3V* the RITLE, — Multiply all the terms of the multiplicand by each term of the multiplier, and add the partial products. EXAMPLES FOR РRACTICЕ. 6. Multiply За3 — 2ab — 1? by 2a — 4о....

...Hence the RULE FOB MULTIPLICATION OF DUODECIMALS. Beginning with the lowest denomination, multiply all the terms of the multiplicand by each term of the multiplier separately ; divide each product by 1 2 (except when the product is feet) ; write the remainder, and...

...2a5 + 363 adding the partial products. Hence Entire Product, 2a2 + 5a5 + 36s the RULE. — Multiply all the terms of the multiplicand by each term of the multiplier, and add the partial products. ENTIRE QUANTITIES. EXAMPLES FOR PRACTICE. Multiply By Product, Multiply By...