Find the degree and the leading coefficient of the following monomials.

Q: Find the GCF of the monomials 14p, 35pq, and 21q. The GCF of 14p², 35pq, and 21q is

A:

Q: raise each monomial to the indicated power. (-2a2b4)4

A: Identity to be used - xab = xa×bAnd,xaybc = xa×cyb×c

Q: The area of a rectangle is represented by the trinomial: x2 + x − 12. Whichof the following…

A: We will factor x2 + x − 12 For that we factor 12, so that the sum of the factors= 1  Such factors…

Q: raise each monomial to the indicated power. (-5a2b2c)3

A: (-5a2b2c)3  = (-5)3(a2)3(b2)3(c)3                     =(-13)(53)(a2.3)(b2.3)(c3)…

Q: perform the indicated divisions of polynomials by monomials. (-16a4 + 32a3 - 56a2)/-8a

A: Given algebraic expression is: -16a4+32a3-56a2-8a

Q: Which of the following is a monomial? OA. 20x - 14 OB. 11x2 OC. 20x9-7x OD. X

A: This question is related to monomials, we will solve it using given information.

Q: 4. Identify the polynomial by selecting the most accurate name for the example: * 3x2 + 6x - 10 O a.…

A: Given polynomial3x2+6x-10

Q: Which polynomial lists the powers in descending order? OA. 3x6+10x² + x³ + 8x³ - 2 OB. x+3x6 +8x³ +…

A: To find which of the given polynomial has powers in descending order that the x has powers in…

Q: 10. Find the GCF of the pair of monomials 12a'b and 16a 6?.

A: Please see the answer in Step 2

Q: Which of the following is the correct factorization of x3 + 8? (x+2)\left(x^{2}-4 x+4\right)

A: Given :               x3 + 8It can be written as :         x3 + 23

Q: 22y³ – 4xy² + 22xy³ |

A:

Q: State whether the following statement is true and explain why or why not: A trinomial is always a…

A: Is it true or not? A trinomial is always a higher degree than a monomial.

Q: perform the indicated divisions of polynomials by monomials. (-35x5 - 42x3)/-7x2

A: The polynomial -35x5-42x3 & the monomial -7x2

Q: determine the degree of the given polynomials. -12

A: We have to find degree of the polynomial: -12 To find degree of the polynomial we need to find…

Q: To multiply 7x°(4x – 8x? + 6), use the property to multiply each term of the trinomial by the…

A: We have to fill in the blank.

Q: Find the greatest common factor for the given expressions.

A:

Q: Find the degree and leading coefficient for the given polynomial. -2a2 – 8a4 + x – 7

A: Given-2x2-8x4+x-7

Q: raise each monomial to the indicated power. (-x2y4z5)5

A:

Q: Identify the degree, leading term, and leading coefficient of the polynomial 6x2−5x9+7x+8

A:

Q: A monomial always has a degree of 1. O True False

A: Given, statement is false. Because A monomial is a expression in algebra that contains only one term…

Q: perform the indicated divisions of polynomials by monomials. -27a3b4 - 36a2b3 + 72a2b5)/9a2b2

A: Given: -27a3b4-36a2b3+72a2b59a2b2

Q: In a polynomial, a number in front of the variable is called exponent. صواب ( خطأ

A: We have to find out

Q: Which of the following is the correct factorization of x3 + 8? (x+2)^{3}

A: Answer: (x+2)3 is correct factorization.

Q: To multiply 7x3(4x5 - 8x2 + 6), use the_________property to multiply each term of the…

A: Given: 7x34x5-8x2+6 for multiply we will use the distributive property to multiply each term of the…

Q: raise each monomial to the indicated power. (-x5y2)4

A: raise each monomial to the indicated power. (-x5y2)4

Q: Find the coefficient of x24 in (x + x2 + x3 + x4 + x5 )8

A:

Q: Which of the following is the correct factorization of 6x2 + x - 12? (3 x+4)(2 x+3)

A: We have to factorize the given expression: 6x2+x-12 Factorizing the expression by middle term…

Q: Which of the following is the correct factorization of x3 + 8? (x+2)\left(x^{2}+2 x+4\right)

A: Given expression : x3+8   Formula used: x3+y3=x+yx2-xy+y2

Q: raise each monomial to the indicated power. (2a3b2)6

A: 2a3b26

Q: _2) Write the given expression a monomial: as -6rs + (-5rs)

A:

Q: Which of the following is a factor of 6x² + 13x-5?

A: We have to find factors of given expression 6x2+13x-5.

Q: Find the product. (x-3)(x +3)

A: Given the expression (x−3)(x+3)

Q: raise each monomial to the indicated power. -(xy2z3)8

A: To simplify the expression: -xy2z38 Solution: We know that, abn=anbn Simplifying the given…

Q: raise each monomial to the indicated power. (-x4y5)4

A: Given: -x4y54

Q: raise each monomial to the indicated power. (-3ab3)4

A: -3ab34

Q: name the coefficient and degree of the monomial. 16k7m5n5

A: Given that, The monomial is 16k7m5n5. The coefficients of the polynomial is the number that is…

Q: State if each of the following polynomoials are monomials, binomials, or trinomials. Then state the…

A: The given problem is solved below in detail.

Q: raise each monomial to the indicated power. (ab2c3)6

A: ab2c36

Q: 7. Find the GCF of the pair of monomials x'y² and xy. ,2

A:

Q: raise each monomial to the indicated power. -(xy2z3)6

A: Given -(xy2z3)6

Q: raise each monomial to the indicated power. -(2ab)4

A: Raise each monomial to the indicated power. -(2ab)4 To raise powers. example (d2)3 =d6

Q: perform the indicated divisions of polynomials by monomials. (14xy - 16x2y2 - 20x3y4)/-xy

A: Given: (14xy - 16x2y2 - 20x3y4)/-xy         To determine: simplest form

Q: perform the indicated divisions of polynomials by monomials. (15a3 - 25a2 - 40a)/5a

A:

Q: raise each monomial to the indicated power. (-xy4z2)7

A: For solving this problem we need to recall a property: xab=xa×b this property can be extended for…

Q: Find the product : (x - 5)(x + 3).

A:

Q: stat the degree of the monomial 25m5n2

A: Degree refers to the sum of powers of variables in the term

Q: perform the indicated divisions of polynomials by monomials. (9x4 + 18x3)/3x

A: We have to perform the indicated division for the given rational expression: 9x4+18x33x Rewriting…

Q: raise each monomial to the indicated power. (2a2b3)6

A: Given: (2a2b3)6

Q: raise each monomial to the indicated power. -(3ab)4

A: To raise each monomial to the indicated power

Q: E: 7x³ + 4x

A: Explanation of the answer is as follows