Answered

The top 10 qualifiers for Navotaas Scholarship have the following scores: 92, 93, 95, 90, 89, 92, 94, 95 91, 96 1. Find the range of the scores. 2. Determine the median score. 3. What is/are the mode/s? 4. What is the mean? 5. What is the most widely used measure of central tendency?

Sagot :

ROSEANNE63GO

Answer:

POLYNOMIALS

Question

find the product using the special

product rule

1. (X + 8)

2.( 2a - 3b)2

3.( 2a + 3c +4b)

+

4.( 7a - 9b) (7a + 9b)

5.(3x - 5y) 3

REMEMBER

Square of a binomial

(a+b)2 = (a +2ab+ba)

Square of a trinomial

(a+b+c)2= (a2+2ab+2ac+ba+2bc+c%)

Cube of a binomial

• (a+b) = (a®+3a²b+3ab2+b3)

Difference of two squares

• (a-b)(a+b) = a -b

SOLUTION

1. This is a square of a binomial

Let a = x, and b = 8

(a+b)2 = (a2+2ab+b2)

(x-8)2= (x)2+2(-8)(x)+(-8)2

• (X-8)=x2-16x+64

2. This is a square of a binomial again

Let a = 2a , and b = -3b

• (a+b)2 = (a2+2ab+b?)

(2a-3b)2= (2a)2+2(2a)(-3b)+(-3b)2

· (2a-3b)2= 4a2-12ab+9b2

3. This is a square of a trinomial

Let a = 2a , b = 3c, c = 4b

(a+2ab+2ac+b2+2bc+c?)

• (2a)2+2(2a)(3c)+2(2a)(4b)+(3c)2+2(3c)

(4b)+(4b)

4a2+12ac+16ab+9c2+24cb+16b24. This is a difference of two squares

.

.

(a-b)(a+b) = a-b2

· (7a-9b) (7a+9b)= (7a)2-(9b)2

• (7a-9b) (7a+9b)= 49a2-81b2

.

5. This is a cube of a binomial

• Let a = 3x and b = -5y

(a+b)3 = (a 3+3a²b+3ab2+b3)

(3x)3+3(3x)?(-5y)+3(3x)(-5y)2+(-5y)3

27x3+31-15x²y)+3(-15xy?)+(-125y3)

27x3-45x2y-45xy 2-125y®

ANSWER

1. x2-16x+64

2. 4a2-12ab+9b?

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