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Mathematics
vork Lesson P4
Add the polynomials. Indicate the degree of the resulting polynomial.
( 3 x 2 y + 9 x y + 1 ) + ( 2 x 2 y + 3 x y 10 ) (3x^(2)y+9xy+1)+(-2x^(2)y+3xy-10)
( 3 x 2 y + 9 x y + 1 ) + ( 2 x 2 y + 3 x y 10 ) = (3x^(2)y+9xy+1)+(-2x^(2)y+3xy-10)=
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To add the polynomials, we combine like terms:
( 3 x 2 y + 9 x y + 1 ) + ( 2 x 2 y + 3 x y 10 ) = 3 x 2 y + ( 2 x 2 y ) + 9 x y + 3 x y + 1 + ( 10 ) = x 2 y + 12 x y 9 {:[(3x^(2)y+9xy+1)+(-2x^(2)y+3xy-10)],[],[qquad=3x^(2)y+(-2x^(2)y)+9xy+3xy+1+(-10)],[],[qquad=x^(2)y+12 xy-9]:}
Therefore, ( 3 x 2 y + 9 x y + 1 ) + ( 2 x 2 y + 3 x y 10 ) = x 2 y + 12 x y 9 (3x^(2)y+9xy+1)+(-2x^(2)y+3xy-10)=x^(2)y+12 xy-9, and the resulting polynomial is of degree 2.
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