Monomial Binomial Trinomial Polynomial

Introduction :

The monomial is the term that contains the degree of the variable as one. Binomial is the term that contains the degree of two. Two monomials are multiplied to get the binomial. The trinomial contains the degree of three. Two binomials or the three monomials are multiplied to get the trinomial. The polynomial contains the monomial, binomial, trinomial and also the higher order degree of the terms. These polynomials are used in the algebraic equations.


Some Examples for Monomial Binomial Trinomial Polynomial:

Monomial: 2x+ 12 = 0.
Binomial: x2+8x+ 91 = 0.
Trinomial: x3+ 3x2+18 = 0.
Polynomial: x5+ 4x4+ 21x3+ 19x2+16x+121 = 0.
Examples for Monomial Binomial Trinomial Polynomial:

Example 1 for monomial binomial trinomial polynomial:

Compute the value for the addition of the monomial (2x+ 1) +(x+13) + (2x+ 18) = 0.

Solution:

The given polynomial is (2x+ 1) +(x+13) + (2x+18) = 0.

Step 1: (2x+ 1) +(x+13) + (2x+ 18) = (2x+ x+ 2x) + (1+13+18)

Step 2: (2x+ 1) +(x+13) + (2x+ 18) = 5x +32

Step 3: 5x+ 32=0

Step 4: 5x =-32

Step 5: x=-`32/5`

Step 6: x =-6.4

The value of x for the polynomial in (x+15) +(x+1) +(x+5) = 0 is -6.4.

Example 2 for monomial binomial trinomial polynomial:

Calculate the binomial using the monomials (2x+1) and (x+12).

Solution:

The given monomial is (2x+1) and (x+12).

Step 1: (2x +1) (x+12) = 2x(x+12) + 1(x+12)

Step 2: (2x +1) (x+12) = 2x2+ 24x+ x+12

Step 3: (2x +1) (x+12) = 2x2+ 25+ 12

The binomial for the given monomial (2x+1) and (x+12) is 2x2+ 25+ 12.

Example 3 for monomial binomial trinomial polynomial:

Determine the value of y from the monomial y+12 = 102.

Solution:

The given monomial is y+12 = 102.

Step 1: y+12 = 102

Step 2: y+12 -12 = 102 -12

Step 3: y = 90

The value of y for the monomial y+12=102 is y = 90.

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Practice Problems for Monomial Binomial Trinomial Polynomial:
Calculate the value for x+91= 234.
Answer: x = 143.

Determine the factors for the trinomial x2+ 22x+ 120 = 0.
Answer: x= -10, -12.