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  1. Factor each. 1) x3 − 5x2 − x + 5 2) x4 − 2x2 − 15 3) x6 − 26 x3 − 27 4) x6 + 2x4 − 16 x2 − 32 ... .y T lA ulClK Ir Niig shTt2sL BrLeesTeIr 0vxe dK.T g NMaPd4e a 5wYiSteh k xIfn jfBiJn 2irt oe3 0A rlDgQeob MrIaV R2z. c Worksheet by Kuta Software LLC 9) 2

  2. 18) 10 m2 + 89 m − 9 (m + 9)(10 m − 1) Critical thinking questions: 19) For what values of b is the expression factorable? x2 + bx + 12 13 , 8, 7, −13 , −8, −7 20) Name four values of b which make the expression factorable: x2 − 3x + b Many answers. Ex: 0, 2, −4, −10 , −18-2-Create your own worksheets like this one with ...

  3. State if the given binomial is a factor of the given polynomial. 1) (6n3 + 59n2 + 50n - 10) ¸ (6n - 1) Divide. 2) (3x3 - 19x2 - 52x - 20) ¸ (3x + 5) Factor each and find all zeros. One zero has been given. 3) f (x) = 4x4 - 8x3 - 61x2 + 2x + 15; -34) f (x) = 3x4 + 6x3 - 23x2 + 2x - 8; 2 Factor each and find all roots. 5) 3x4 - 11x2 + 6 = 06 ...

  4. ©7 42e0 61n2U UKXu0tga k zSPo0f NtPwCalroe 6 RLhL 4C w.j b yA ol dl r XrBiEgoh 5t7s a RrmePs3ecr4v8e qd g.z H sMeaDdet EwMiWtGhK 8Iyntf8i in zi 4t ge4 PA Dlqgce Fbtrsa X W1W.m Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Factoring Trinomials (a = 1) Date_____ Period____

  5. 17) 6n2 + 5n − 6 18) 16 b2 + 60 b − 100 -2- ©s h2w0K1L2 n SKluet oaY pS Qo7f 5tMw8a5r0eR ALTLKCe.n i hAElelq 1r EiogshIt ys d 6r GeDsZeJr VvRepdS.g a FM 6a gd ge3 Ow9iHthM KImn9f 5iMn0iotre O fAvl bg seZb NrKam Y1f.v Worksheet by Kuta Software LLC

  6. Factor the quartic polynomial by using quadratic form. Determine whether you can factor the given - + 100 trinomial into 2 factors. Determine if you can continue to factor each binomial.

  7. 6.4 PRACTICE - Factoring and Solving Polynomial Equations. Factoring by grouping. Factor each completely. 1) 20b3 − 25b2 + 32b − 40 2) 4v3 + 32v2 − 3v − 24. 3) p3 − 4 p2 − 4 p + 16. 4) 28x3 − 4x2 − 7x + 1. Factoring quadratic form. Factor each completely. 5) m4 + 8m2 + 12.