(x + 1) and (x + 2) are monomial factors of the polynomial x2 + 3x + 2 (x + 1) and (x + 3) are monomial factors of the polynomial x2 + 4x + 3 (x + 1) is a common monomial factor of the polynomials x2 + 3x + 2 and x2 + 4x + 3
A monomial in the variable x.
3 x 5 x T
2 x 7 x w
No.
No, the index of x must be a non-negative integer.
x
yes
(x + 1) and (x + 2) are monomial factors of the polynomial x2 + 3x + 2 (x + 1) and (x + 3) are monomial factors of the polynomial x2 + 4x + 3 (x + 1) is a common monomial factor of the polynomials x2 + 3x + 2 and x2 + 4x + 3
A monomial in the variable x.
A monomial is a special case of a polynomial which contains only one term. To identify a particular term of a polynomial (in x), we use the name associated with the power of x contained in a term. 3 + √7 is a monomial of zero degree which has a special name such as a constant polynomial. Let's rewrite it as, 3x0 + (√2)x0 = (3 + √7)x0 , a monomial with an irrational coefficient = (3 + √7)(1) = 3 + √7.
2 x 5 x a x a x a x a
3 x 5 x T
2 x 7 x w
No. A monomial is a polynomial with just one term, so that the power must be only a positive integer.
No.
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