Q5.55 Multiply :(a)聽(x-7)(x+5)(b)聽(3... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q5.55 (page 527)

Multiply : $(a) (x - 7) (x + 5) (b) (3 x + 7) (5 x - 2)$

Short Answer

Expert verified

Multiply the binomials ,we get

$(a) . (x - 7) (x + 5) = x^{2} - 2 x - 35 (b) . (3 x + 7) (5 x - 2) = 15 x^{2} - 29 x - 14$

Step by step solution

Step 1. Given information

$(a) (x - 7) (x + 5) (b) (3 x + 7) (5 x - 2)$

Step 2. FOIL method

$T h e m n e m o n i c F O I L t e l l s u s e x a c t l y w h a t t e r m s t o m u l t i p l y, a n d i n w h a t o r d e r : F i r s t 鈥� m u l t i p l y t h e f i r s t t e r m s O u t s i d e 鈥� m u l t i p l y t h e o u t s i d e / o u t e r t e r m s I n s i d e 鈥� m u l t i p l y t h e i n s i d e / i n n e r t e r m s L a s t 鈥� m u l t i p l y t h e l a s t t e r m s$

Step 3Part (a) Step 1. Multiply the binomials

$(a) 1 . M u l t i p l y f i r s t t e r m x^{2} 2 . M u l t i p l y o u t e r t e r m x^{2} + 5 x 3 . M u l i t p l y i n n e r t e r m x^{2} + 5 x - 7 x 4 . M u l t i p l y i n l a s t t e r m x^{2} + 5 x - 7 x - 35 5 . C o m b i n e l i k e t e r m s x^{2} - 2 x - 35$

Step 4Part (b) Step 1.Multiply the binomials

$(b) 1 . M u l i t p l y f i r s t t e r m 15 x^{2} 2 . M u l t i p l y o u t e r t e r m 15 x^{2} - 6 x 3 . M u l t i p l y i n n e r t e r m 15 x^{2} - 6 x + 35 x 4 . M u l t i p l y l a s t t e r m 15 x^{2} - 6 x + 35 x - 14 5 . C o m b i n e l i k e t e r m 15 x^{2} + 29 x - 14$

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91影视

Multiply : $(a) (x - 7) (x + 5) (b) (3 x + 7) (5 x - 2)$

Short Answer

Step by step solution

Step 1. Given information

Step 2. FOIL method

Step 3Part (a) Step 1. Multiply the binomials

Step 4Part (b) Step 1.Multiply the binomials

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91影视

Multiply :(a)(x-7)(x+5)(b)(3x+7)(5x-2)

Short Answer

Step by step solution

Step 1. Given information

Step 2. FOIL method

Step 3Part (a) Step 1. Multiply the binomials

Step 4Part (b) Step 1.Multiply the binomials

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Discrete Mathematics

Geometry

Mechanics Maths

Applied Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Multiply : $(a) (x - 7) (x + 5) (b) (3 x + 7) (5 x - 2)$