on the degree of the divisor. At this stage, this new dividend becomes the remainder
nomial
1+x.
ing steps
tandard for
So, the
d the sum of the quotients gives us the whole quotient.
op 6: Thus, the quotient in full is 3x-2 and the remainder is 1.
et us look at what we have done in the process above as a whole:
3x - 2
*+1) 3x ++-1
3.rº + 3x
- 2x-1
f quotien
-2x - 2
otice that 3r + x - 1 = (x + 1) (3x - 2) + 1
e Dividend = (Divisor x Quotient) + Remainder
1 general, if p(x) and g(x) are two polynomials such that degree of p(x) 2 degree of
(2) and g(x)=0, then we can find polynomials q(x) and r(x) such that:
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on the degree of the divisor. At this stage, this new dividend becomes the remainder
nomial
1+x.
ing steps
tandard for
So, the
d the sum of the quotients gives us the whole quotient.
op 6: Thus, the quotient in full is 3x-2 and the remainder is 1.
et us look at what we have done in the process above as a whole:
3x - 2
*+1) 3x ++-1
3.rº + 3x
- 2x-1
f quotien
-2x - 2
otice that 3r + x - 1 = (x + 1) (3x - 2) + 1
e Dividend = (Divisor x Quotient) + Remainder
1 general, if p(x) and g(x) are two polynomials such that degree of p(x) 2 degree of
(2) and g(x)=0, then we can find polynomials q(x) and r(x) such that:
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