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Q: Find the degree of each monomial 1. 4x 2. 7c3 3. -16 4. 6y2w8 5.8ab3 6. 6 7. -9x4 8. 11?
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How do you find the degree of a monomial?

By definition, a monomial has only one unknown independent variable, usually represented by a letter of the alphabet. The exponent immediately after that symbol for the unknown is the degree of the monomial.


What are the degree of polynomials?

The degree of a monomial is the sum of the exponents. Example: 28x3yn2. Although the letters are different, the degree is 3+1+2. The 1 is understood above the y. So the degree is 6. The degree of anything besides a monomial is the highest degree of the other monomials. For example: 77a3b5c6+100xyz. | | 3+5+6 1+1+1 14 3 Although the 100 is the bigger number, the degree of this binomial is 14. The same is for a trinomial etc. You just find the degree of all monomials. The highest degree is the degree the whole binomial/trinomial ect. I hope I helped!


Find the greatest monomial factor of 48a5b2 and 72a4b?

12ab


Find the greatest common monomial factor 24y8 and 6y6?

6y6


Find the greatest common monomial factor 3x2-15x4?

the answer is 3x2


What is the least common multiple of the monomial 21w?

You need at least two terms to find an LCM.


How do you find the GCF of a set of monomials?

Find the gcf for the coefficients and find the smallest exponential for the variable(s), but the variable must be in all the monomial terms.


Find the GCF of each pair of monomial of -8x³ and 10a²b²?

To find the GCF of each pair of monomial of -8x³ and 10a²b², we can use the following steps: Write the complete factorization of each monomial, including the constants and the variables with their exponents. -8x³ = -1 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ x ⋅ x ⋅ x 10a²b² = 2 ⋅ 5 ⋅ a ⋅ a ⋅ b ⋅ b Identify the common factors in both monomials. These are the factors that appear in both factorizations with the same or lower exponent. The common factors are: 2 Multiply the common factors to get the GCF. GCF = 2 Therefore, the GCF of each pair of monomial of -8x³ and 10a²b² is 2.


How do you find the two factors of one monomial and a polynomial?

1. Quadratic Formula 2. Rational Root Theorem 3. Zero Product Theorem


Find the GCF of each pair of monomial of 10a and lza²b?

To find the GCF of each pair of monomials of 10a and lza²b, we can use the following steps: Write the complete factorization of each monomial, including the constants and the variables with their exponents. 10a = 2 ⋅ 5 ⋅ a lza²b = lz ⋅ a ⋅ a ⋅ b Identify the common factors in both monomials. These are the factors that appear in both factorizations with the same or lower exponent. The common factors are : a Multiply the common factors to get the GCF. GCF = a Therefore, the GCF of each pair of monomial of 10a and lza²b = a


What number must be added to the polynomial to complete the square x2 13x?

Complete the square is the process of creating a "perfect square" polynomial. We call (x + a)^2 a perfect square, where a is a constant. Using simple distributivity of numbers, we get x^2 + 2ax + a^2 is a representation of a perfect square in simplified formed. so (x + a) ^2 = x^2 + 2ax + a^2. Given a degree polynomial in the form x^2 + nx, where m and n are constants, when we "complete the square", we are looking for values that will turn it into something like x^2 + 2ax + a^2. The entire idea is to find what "a" is. 2a is the coefficient for the degree one monomial "2ax" for what we want, also n is the coefficient for the degree one monomial "nx" for what we have. Then why don't we just say n = 2a for some a. To find a, it's obvious a = n/2. We have the degree 2 term (x^2), degree 1 term (nx = 2 . n/2 .x). We need the constant of a^2. a^2 = (n/2)^2 = n^2 / 4. In this case, n = 13.


How do you find the least common multiple of a monomial?

It's the same process as composite numbers. Factor them. Combine the factors, eliminating duplicates. If they have no common factors, the LCM is their product.