University:
Cornell University
Course:
MATH 1110 | Calculus I
Academic year:

2023
Views:

197

Pages:

2
Author:

Moses Higgins

Name: _____________ Hour: Verify the given factor (s) of the function f (x). Then find the remaining factors off (x). Use your results to write the complete factorization off (x) and write all the zeros (including multiplicities) of the function. f(x) = 2x 3 + x 2 1. - ;.l\ 2. l - S 2� -'i Sx + 2; (x + 2) Complete Factorization: ( k-t-.2.)(.X .-f)(2.)(.-I) 4 -t. z -� ' All Zeros: - 2,. 1 � 0 1.'f.. '-- 3 )(. -\- \ ( l. � - I")(. "-1) :. 0 2. f(x) = 8x 4 -1.l I;-l, -l'\ •1"\ - IC- - 14x 3 - -\o v+ C.O i..i. .. Z.'t .!!} 8 -30 -ll 12- 0 j, &Z. 8 -,i. s 2- -, 0 71x 2 - \ I lOx + 24; (x + 2), (x - 4) Complete Factorization: ( x+2.)('l(-* )(4� +3)( z ,<.- r) All Zeros: _ �l+ l'l. "'3 2 J 4J -1. J. 1t>2- ('\x +3'l.?'t-- 1) Use factoring techniques, or the Rational Root Theorem to find all the zeros (including multiplicities) of the function, then write the polynomial as a product of linear factors. 3. + 10x 2 + 9 f(x) = x 4 (x2 +1)(t >x. :. - \ 4. Complete Factorization: ( )(+ .t. )( )(-.i.)(x.-t 3i )(><-3�) 2. +q') "/,..�:. -q )(..:.. :t 3i f(x) = x 3 - All Zeros: 3x 2 - lSx + 125 i= -_al l -3 - it; ,2.; 4o -IZS � .. S 2.S o -8 )C 2 :t .3l Complete Factorization: ± ±1, s ,±zs, ::trz.5 (>(.+5)(x-Li-31.)('l<-'1+.3J..) All Zeros: - s, l.\ '! 3i -i)C. t2.5 'o ±. fbi.\- 100° ± A.- J � � f3b _- S-t bi -:. 2 2

Math Factorial Solution Key

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