Multiply: (a) 3a?(3a² – 5a + 2), (b) -2xz°(6x³z + x²z? – xz³ + 7z*), and (c)(-mª – 25)(4m³)To find each product, we will multiply each term of the polynomial by the monomial.We use the distributive property to multiply a monomial and a polynomial.(a) Multiply each term of 3a2 – 5a + 2 by 3a2.За? (За? - 5а + 2)= 3a?(3a?) + 3a?(-5a) + 3a²(2)Distribute the multiplication by 3a?] Oa?- 15a3 +Multiply the monomials.= 9a(b) Multiply each term of 6x³z + x²z² – xz3 + 7z* by -2xz3.-2xz (6x°z + x?z? - xz³ + 7z*)= -2xz°(O z4)=O – Oxz7|x3z) – 2xz³(x²z?) – 2xz°(-xz³) – 2xz³(x^z4 – 2x3z5 + 2x²z6 .Multiply the monomials.%3D25 by 4m3.(-mª – 25)(4m³) = -m*(4m³) – D (4m³)=Om? -Om3(c) Multiply each term of -m'Distribute the multiplication by 4m³.Multiply the monomials.Multiply: (a) 5c2(2c4 – 8c – 4) and (b) -s?t²(-s°4 + s5t5 - st6 + 4s)(a)(b)

Answered: Image /qna-images/answer/75ca2eb3-060f-42ae-a6ea-829b17d3da28.jpg

To find each product, we will multiply each term of the polynomial by the monomial. We use the distributive property to multiply a monomial and a polynomial. (a) Multiply each term of 3a2 За?(За?- 5а + 2) - 5a + 2 by 3a?. За? (За?) + За?(-5а) + За?(2) = 9aU- 15a3 +Oa? Distribute the multiplication by 3a2 Multiply the monomials. (b) Multiply each term of 6x³z + x²z² – xz³ + 7zª by -2xz³. -2xz (6x3z + x?z2 – xz³ + 7z*) - -2xz°(Ox³2) – 2xz°(x²z?) – 2xz°(-xz³) – 2xz°(Oz4) OX4A - 2x°z5 + 2x²z6 – D xz7 Multiply the monomials. (c) Multiply each term of -m4 – 25 by 4m3. (-mª – 25)(4m³) = -m*(4m³) –O (4m³) -Om? -Om3 Distribute the multiplication by 4m³. Multiply the monomials. Multiply: (a) 5c2(2c4 – 8c – 4) and (b) -s?t?(-s©rª + s$t5 – st6 + 4s) (a) (b)

To find each product, we will multiply each term of the polynomial by the monomial. We use the distributive property to multiply a monomial and a polynomial. (a) Multiply each term of 3a2 За?(За?- 5а + 2) - 5a + 2 by 3a?. За? (За?) + За?(-5а) + За?(2) = 9aU- 15a3 +Oa? Distribute the multiplication by 3a2 Multiply the monomials. (b) Multiply each term of 6x³z + x²z² – xz³ + 7zª by -2xz³. -2xz (6x3z + x?z2 – xz³ + 7z) - -2xz°(Ox³2) – 2xz°(x²z?) – 2xz°(-xz³) – 2xz°(Oz4) OX4A - 2x°z5 + 2x²z6 – D xz7 Multiply the monomials. (c) Multiply each term of -m4 – 25 by 4m3. (-mª – 25)(4m³) = -m(4m³) –O (4m³) -Om? -Om3 Distribute the multiplication by 4m³. Multiply the monomials. Multiply: (a) 5c2(2c4 – 8c – 4) and (b) -s?t?(-s©rª + s$t5 – st6 + 4s) (a) (b)

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter6: Polynomials

Section: Chapter Questions

Problem 589RE: In the following exercises, determine if each of the following polynomials is a monomial, binomial,...

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