Algebra 1 Common Core Student Edition, Grade 8-9

To factor a polynomial completely, first factor out the GCF of the polynomial's terms. Then factor the remaining polynomial unti ...

Factor each expression. 5z2 + 19z - 4 3x2 + 23x — 36 15. 2k2 — 13k — 24 18. 4 w2 - 5 m/- 6 16. 6 f 2 + 7t— 5 19. 4d2-4 d -3 5 ...

Factor each expression. 54x2 + 87x + 28 39. 66fc2 + 57k+ 12 40. 14z2 — 53z + 14 28ft2 + 28ft — 56 42. 21y2 + 72y - 48 43.^55 n2 ...

Factoring Special Cases Common Core State Standards A-SSE.A.1a Interpret parts of an expression, such as terms, factors, and coe ...

Will the answer have the form (a + b)2 or (a - b)2? The m iddle term - 1 2 x has a negative coefficient, so the factored express ...

Recall from Lesson 8-4 that (a + b){a - b) = a 2 - b 2. So you can factor a difference of tw o squares, a2 - b2, as (a + b){a - ...

When you factor out the GCF of a polynomial, sometimes the expression that remains is a perfect-square trinomial or the differen ...

Factor each expression. ^ See Problems 3-5. t w2 - 144 25. a2-4 9 26. y2- 121 t2 — 25 28. k2 -^64 29. m2 - 225 4 p2 - 49 31. 8 ...

a. Factor 4x2 - 100 by removing the common monomial factor and then using the difference-of-squares rule to factor the remainin ...

What information do you need before you can fin d th e o th e r tw o side lengths? MATHEMATICAL PRACTICES ig R ead y! A packagin ...

Do the terms share any numerical or variable factors? Yes. The term s have a common numerical factor o f 4 and a com m on variab ...

Go t I t? 3. Geom etry A rectangular prism has volume 60x3 + 34x2 + 4x. What expressions can represent the dimensions of the pri ...

Factor completely. 8p3 — 32p2 + 28p — 112 6q4 + 3 q3 - 24q2 - Y2q 23. 3w4 - 2ie3 + 18ie2 - 12ie 26. 36f3 - 126v2 + 48u - 168 ^ ...

Challenge Factor by grouping. y3 + lly 2 - 4y - 44 42. p2m + p2n5 + qm + qn5 43. 3 0 g 5 + 2 4 g 3h - 35g2h2 - 28h3 ^SAT/ACT S ...

0 5 ft xftxft On Yo u r Ow n Three members of the community garden design the plots shown below. Each plan shows a flower bed in ...

Ch ap t er Rev i ew Connecting BIG id e a s a n d A n s w e rin g the Essential Q u e stio n s 1 E q u i v a l e n c e You can r ...

8-1 A d d i n g an d Su b t r act i n g Po l y n o m i al s Quick Review A monomial is a number, a variable, or a product of a n ...

8-3 and 8-4 Multiplying Binomials Quick Review You can use algebra tiles, tables, or the Distributive Property to multiply polyn ...

8-7 Factoring Special Cases Quick Review When you factor a perfect-square trinomial, the two binomial factors are the same. a2 + ...

Ch ap t er Test -------------------------N M athX L ® f o r School '< 3 5 Go to P ow erA lgebra.com Do yo u k n o w H OW? Wri ...