6. Vincent is trying to create a polynomial identity. Step 0: Original Statement. Step 1: Expand the binomlal expression +y)+y)-x*+ 2xy +y Step 2: Add 2xy-2x'y which is equivalent to adding zero. *+ 2y+y+(2ry-2y) Step 3: Rearrange the order of the terms. *- 2xy+y+2xy+2ry Step 4: tor the first 3 terms z'- 2ry+y'-(-) and combi (ビープ)+ Step 5: Rewrite the last term as a square. (2-y)' (26)* Are each of his steps valid? If not, in which step is there an error? a. All of Vincent's steps are valid. b. Vincent didn't correctly expand the binomial in Step 1. c. Vincent can't just add to the expression in Step 2. d. Vincent factored incorrectly the terms in Step 4. 7. Factor 3x(x-4) +5(x-4) a. (x-4) (3x + 5) b. (x-4)(3x+ 5) C. 15x(x-4) d. 2(x-4)(3x+5) 8. Factor 5p(m+ 3) + 3n(m+ 3)-2p(m + 3) (m+ 3)'(3p+3n) (m 3)( 3p 3n) C. (m+3)-10p+3n d. 3(m+3)(3p+3n) a. b.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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6. Vincent is trying to create a polynomlal identity.
Step 0: Original Statement.
Step 1: Expand the bimomlal eexpression
+y+y)-x*+2y
Step 2: Add 2xy-2ry which is equivalent to adding zero.
ayy+(2ry -2y)
Step 3: Rearrange the order of the terms.
-2yy+2xy 2ry
Step 4: tor the first 3 terms z - 2r'y +y' - -y)
nnd combine term
Step 5t Rewrlte the last term as a square.
Are each of his steps valid? If not, in which step is there an error?
a. All of Vincent's steps are valid.
b. Vincent didn't correctly expand the binomial in Step 1.
C Vincent can't just add to the expression in Step 2.
d. Vincent factored incorrectly the terms in Step 4.
7. Factor 3x(x-4)+5(x-4)
a -4) 3r 5)
b. (x-4)(3x 5)
d. 26x-4)(3x+5)
8. Factor 5p(m+3) + Jn(m+3)-2p(+ 3)
c (m+ 31-10p+ 3n
d. 33)(p+3m)
a.
b. (m 3)(3p 3n)
Transcribed Image Text:6. Vincent is trying to create a polynomlal identity. Step 0: Original Statement. Step 1: Expand the bimomlal eexpression +y+y)-x*+2y Step 2: Add 2xy-2ry which is equivalent to adding zero. ayy+(2ry -2y) Step 3: Rearrange the order of the terms. -2yy+2xy 2ry Step 4: tor the first 3 terms z - 2r'y +y' - -y) nnd combine term Step 5t Rewrlte the last term as a square. Are each of his steps valid? If not, in which step is there an error? a. All of Vincent's steps are valid. b. Vincent didn't correctly expand the binomial in Step 1. C Vincent can't just add to the expression in Step 2. d. Vincent factored incorrectly the terms in Step 4. 7. Factor 3x(x-4)+5(x-4) a -4) 3r 5) b. (x-4)(3x 5) d. 26x-4)(3x+5) 8. Factor 5p(m+3) + Jn(m+3)-2p(+ 3) c (m+ 31-10p+ 3n d. 33)(p+3m) a. b. (m 3)(3p 3n)
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