x2x2 + x x 2 +3x +2 +2x x + 2 x 2 + x +2x +2 learning how to do long multiplication with number and...

x 2 + x x 2 +3 x +2 +2 x x + 2 x 2 + x +2x +2 Learning how to do long multiplication with number and algebra

Upload: louise-strickland

Post on 18-Jan-2018

218 views

Category:

Documents

0 download

Report

Download

Embed Size (px):

DESCRIPTION

What is … 82 x 41 ? Imagine the sum as (80+2)(40+1) on the other Remember! MULTIPLY to get the answers inside the boxes on one side =

TRANSCRIPT

+ x

x2 +3x +2

+2x

x + 2

x2 + x

+2x +2

Learning how to do long multiplication

with number and algebra

What is … 18 x 36 ?

Imagine the sum as (10+8)(30+6)30 + 6 on the other

Remember! MULTIPLY to get the answers inside the boxes

10 + 8 on one side

30 610 8

300 60240 48

= 648

360288 +

Page 3: X2x2 + x x 2 +3x +2 +2x x + 2 x 2 + x +2x +2 Learning how to do long multiplication with number and algebra

What is … 82 x 41 ?

Imagine the sum as (80+2)(40+1)40 + 1 on the other

Remember! MULTIPLY to get the answers inside the boxes

80 + 2 on one side

40 180 2

3200

8080 2

= 3362

328082+

Page 4: X2x2 + x x 2 +3x +2 +2x x + 2 x 2 + x +2x +2 Learning how to do long multiplication with number and algebra

x +1 x

x2 + x

= x2 +3x +2

+2x +2

Algebra … (x+2)(x+1) ?

x + 2 on one sidex + 1 on the other

x2 + x +2x +2

Don’t write +1x

3x +7 4x

12x2 + 28x

= 12x2 +34x + 14

+6x +14

Algebra … (4x+2)(3x+7) ?

4x + 2 on one side 3x + 7 on the other

12x2 + 28x

+ 6x + 14

4x x 3x means 4 x 3 x x x x

Page 6: X2x2 + x x 2 +3x +2 +2x x + 2 x 2 + x +2x +2 Learning how to do long multiplication with number and algebra

3x +5 2x

6x2 + 10x

= 6x2 + 22x + 20

+12x

+20

Algebra … (2x+4)(3x+5) ?

2x + 4 on one side 3x + 5 on the other

6x2 + 10x

+ 12x + 20

2x x 3x means 2 x 3 x x x x

Lesson 2-2. Warm-up Perform the polynomial operation. 1. (x 2 + 5x – 3) + (x 3 – 2x 2 + 7) 2. (5x – 3 + 2x 2 ) + (4 – 5x 2 + x) 3. (x 2 + 5x – 3) – (x

· Exercise 5.3 2x + 3y = sin x Differentiating both sides with respect to x, we get — sin x dx dx dx dy cosx — 2 dx 2x + = sin y dy dx cos x Question 2: 2x + = sin y Answer

Algebraic long division Divide 2x³ + 3x² - x + 1 by x + 2 x + 2 is the divisor The quotient will be here. 2x³ + 3x² - x + 1 is the dividend

2x 4y 10 2 x + 4y 2x + 4y = 102 x + 4y + 102= 180 2x = 102 - 4y 51 – 2y + 4y + 102 = 180 2y + 153 = 180 2y = 27 x = 51 - 2y x = 51 – 2(13.5) x = 51 – 27

EXAMPLE 1 Simplify a rational expression x 2 – 2x – 15 x 2 – 9 Simplify : x 2 – 2x – 15 x 2 – 9 (x +3)(x –5) (x +3)(x –3) = Factor numerator and denominator

ANALYTIC TRIG!!!!!!!. Trig Identities sin^2x + cos^2x = 1 tan^2x + 1 = sec^2x 1 + cot^2x = csc^2x sin(-x) = -sinx cos(-x) = cosx tan(-x) = -tanx

Multiply the polynomial. 1.(x + 2)(x + 3)(x + 1) ANSWER (x 2 + 5x + 6)(x + 1) ANSWER 4x 2 – 1 2.(2x – 1)(2x + 1) 3. (x – 7) 2 ANSWER x 2 – 14x + 49

Z c. Alg Chapter 23.pdf · 22E 22F 23A 23B 23C 1) 12 = 2x 2 x;2; 18 = 2x ;2x 3 1) 75 =;2x §x 5; 45 = ;2x 3 x 2 1) 3 1) trinomial 1) 2 GCF=2x3=6 GCF=3x 5= 15 2) 2 2) X 2) 3 2) 30

Find the product. 1.(2x + 3)(3x – 7) 2.(x – 11)(x + 11) = 6x 2 – 5x – 21 = x 2 – 121 = 5(2x + 5) Factor. 3. 10x + 25 4. 28x 2 + 35x 5. x 3 + 2x 2 + 4x

NATIONAL SENIOR CERTIFICATE EXAMINATION · PDF fileArea DGEF = DE x EF = x tan 60 ⁰ (3 – 2x) = x. 3.(3 – 2x) = 3.x (3 – 2x) EF = 3 – 2x x tan 60⁰ (3 – 2x) (2) 8.3 A(x)

11/12/14 Geometry Bellwork 1.3x = 8x – 15 0 = 5x – 15 15 = 5x x = 3 2.6x + 3 = 8x – 14 3 = 2x – 14 17 = 2x x = 8.5 3.5x – 2 = 3x + 6 2x – 2 = 6 2x = 8

PG 534 Vehicle Routing Einführung - Algorithm Engineeringls11-max x 1 + x 2 sto 14 x 1 - 18x 2 -9 2x 1 - 2x 2 1 x 1, x 2 0 x 1, x 2 ganzzahlig Erzeuge Cut Erst Relaxierung rechnen

Do Now If f(x) = 2x + 3 and g(x) = x 2 – 2x, find: 1)f(3)2)g(-2) *3) g(4) – f(1)

J - s3.amazonaws.com fileProblem Set 80 22. y = x + sin x + arctan (X2) + e" csc (2x) cos x dy = dx cos x(l + cos x) - (x + sin x)(-sin x) cos2 x + 2 ~ + e X[-2 csc (2x) cot (2x)]

Warm Up Evaluate each expression for the given value of x. 1. 2x + 3; x = 22. x 2 + 4; x = –3 3. –4x – 2; x = –14. 7x 2 + 2x; x = 3 Identify the coefficient

Warm-Up Exercises Multiply the polynomial. 1.(x + 2)(x + 3) ANSWER x 2 + 5x + 6 ANSWER 4x 2 – 1 2.(2x – 1)(2x + 1) 3. (x – 7) 2 ANSWER x 2 – 14x + 49

10-4 Multiplying and Dividing Rational Expressions Warm Up Multiply. 1. 2x 2 (x + 3)2. (x – 5)(3x + 7) 3. 3x(x 2 + 2x + 2)4. Simplify. Divide. Simplify

Specification · 2020. 4. 6. · 2 tan 1 —tan 2 4 sin 700 sec 700 sin 2x cos 2x tan 2x 2 sin x cos x cos2 x — sin2 x 2 cos2 x — 1 1 — 2 sin2 x 2 tan x 1 — tan2 x Double

M3U6D6 Warm-up: Find the zeroes: 1.x 2 – 6x – 16 = 0 2.2x 2 + 7x + 5 = 0 (x-8)(x+2)=0 x-8=0 or x+2=0 x=8 or x=-2 (2x+5)(x+1)=0 2x+5=0 or x+1=0 2x=-5 or

Solve for x. 30° 2x + 10 2x + 10 = 60 – 10 – 10 2x = 50 2 2 x = 25

wangsajaya.files.wordpress.com...cos x — sin x (A) I — cos 2x (B) I — sin 2x I + cos 2x I — cos 2x 1+2 sin x (D) I — 2 sin x I + sin 2x (E) 1 — sin 2x Halaman I dari 9

Drill: Find dy/dx y = x 3 sin 2x y = e 2x ln (3x + 1) y = tan -1 2x Product rule: x 3 (2cos 2x) + 3x 2 sin (2x) 2x 3 cos 2x + 3x 2 sin (2x) Product Rule

gekjk fo'okl--- gj ,d fo|kFkhZ gS [+kkl · 3 e 3 1 |x 1| log C 2 x Sol. 2 dx x x 2x 1 4 3 = dx x(x 1) (2x –1) 3 3 x x (4x 1)–2x –2 4 3 3 = dx x x x 1 –2 x x 4x 1 4 3 4 3 =

Multiply. (x+3)(x+2) x x + x 2 + 3 x + 3 2 Bellringer part two FOIL = x 2 + 2x + 3x + 6 = x 2 + 5x + 6

M3U3D4 Warm Up Divide using Synthetic division: (2x ³ - 5x² + 3x + 7) /(x - 2) 2x² - x + 1 + 9/(x-2)

Warm-up 1. 5x + 4(x – 1) = 17 2. 5(x+2) = 3(x – 6) 3. 4. 5. 2x – 4(x+1) = 2x + 20

topical - Math -HL-Answer-2011-2017- Circular trigonometry filesin — cos 3xsin x sm x cosx sin (3x — x) sin 2x OR sin 2x cosx + cos 2x sin x smx 2 sinxcos2 x +2cos2 xsinx sinx

Name:__________ warm-up 6-2 Using f(x) = 3x + 2 and g(x) = 2x 2 – 1, find (f – g)(x), if it exists. Using f(x) = 3x + 2 and g(x) = 2x 2 – 1, find (f ●

Mar 5th properties of polynomials.notebook - Vincent's Math ......3. Match each graph with the correct polynomial function. Justify your reasoning. C) p(x) -2x-2 -2x-2 x3-2x2 x-2 2x-3

€¦ · Web view2) Rewrite 4•x•x•x using exponents. 3) Write 3x3y2 in expanded form (as repeated multiplication) 4) Simplify 2x(x – 2)25) Simplify (2x – 3) (2x + 3) Review

Regents Review #3 Functions f(x) = 2x – 5 y = -2x 2 – 3x + 10 g(x) = |x – 5| y = ¾ x y = (x – 1) 2 Roslyn Middle School Research Honors Integrated Algebra

PROBLEM SET - s3.amazonaws.com file13. y = sin (2x + 1) 2 2 + tanx x + 2 (x2 + 2) cos (2x + 1)(2) (x2 + 2)2 sin (2x + 1)(2x) 2 - (x2 + 2)2 + 2 sec x 2 cos (2x + 1) _ 2x sin (2x + 1)

Find the product. 1.(x + 4)(x + 7) 2.(x + 14)(x + 2) = x 2 + 16x + 28 = 5(2x + 5) Factor. 3. 10x + 25 4. 28x 2 + 35x 5. x 3 + 2x 2 + 4x + 8 = 7x(4x + 5)

9781133108490 App F1 - Higher Ed eBooks & Digital ... 2e 2x, y 3e 2x, 2x 0 y 2y 2e 2x 2 e 2x y. y 2 2e x y y e 2x y f x y f x y 2y 0 F Differential Equations F.1 Solutions of Differential

Warm up: Solve 3(x+4) = 2(2x+2) - MrsDempseysMathSite