Algebra homework help.

## HW–4/3 6.3 Quiz 3

**HW — 6.3 **(Pg. 713) 173, 185, 193, 195, 203, 205, 225, 229, 237, 241, 251, 265, 267, 273, 295.

Multiply a Polynomial by a Monomial In the following exercises, multiply.

- 4(w + 10)

- −x(x − 10)

- 3(p 2 + 10p + 25)

- −8x(x 2 + 2x − 15)

- −4z 2 (3z 2 + 12z − 1)

- (2m − 9)m

- 3(v 2 + 10v + 25)

- −8y(y 2 + 2y − 15)

__Multiply a Binomial by a Binomial In the following exercises, multiply the following binomials using: ____ⓐ____ the Distributive Property ____ⓑ____ the FOIL method ____ⓒ____ the Vertical Method. __

- (w + 5)(w + 7)

__In the following exercises, multiply the binomials. Use any method. __

- (x + 8)(x + 3)

- (2t − 9)(10t + 1)

- (6pq − 3)(4pq − 5)

Multiply a Trinomial by a Binomial In the following exercises, multiply using ⓐ the Distributive Property ⓑ the Vertical Method.

- (x + 5)(x 2 + 4x + 3)

In the following exercises, multiply. Use either method.

- (3q + 1)(q 2 − 4q − 5)

- Mental math You can use binomial multiplication to multiply numbers without a calculator. Say you need to multiply 18 times 17. Think of 18 as 20 − 2 and 17 as 20 − 3 . ⓐ Multiply (20 − 2)(20 − 3) by the FOIL method. ⓑ Multiply 18 · 17 without using a calculator. ⓒ Which way is easier for you? Why?

## HW–4/6 6.4

**HW — 6.4 ** (Pg. 727) 303, 305, 307, 321, 323, 325, 329, 335, 337, 339, 345, 351.

Square a Binomial Using the Binomial Squares Pattern In the following exercises, square each binomial using the Binomial Squares Pattern.

- (q + 12) 2

- (y − 6) 2

- (8p 3 − 3) 2

Multiply Conjugates Using the Product of Conjugates Pattern In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern.

- (c − 5)(c + 5)

- (9c + 5)(9c − 5)

- (7w + 10x)(7w − 10x) 3

- (xy − 9)(xy + 9)

- (15m 2 − 8n 4 )(15m 2 + 8n 4 )

- Mental math You can use the binomial squares pattern to multiply numbers without a calculator. Say you need to square 65. Think of 65 as 60 + 5 . ⓐ Multiply (60 + 5) 2 by using the binomial squares pattern, (a + b) 2 = a 2 + 2ab + b 2 . ⓑ Square 65 without using a calculator. ⓒ Which way is easier for you? Why?

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## HW–4/8 6.5

**HW — 6.5 ** (Pg.744) 357, 363, 365, 373, 375, 379, 387, 397, 405, 413, 421.

Simplify Expressions Using the Quotient Property for Exponents In the following exercises, simplify.

In the following exercises, simplify.

Simplify Expressions by Applying Several Properties In the following exercises, simplify.

Divide Monomials In the following exercises, divide the monomials