I am so dumb in math please Help! I need help to all the math wiz come help!?

Question

Math Help Please Help me!?
Factor each polynomial write prime if a polynomial cannot be factored.

1. 5x + 25
2. x^2 +4x-21
3. 9x^2-16
4. 25x^2-20x+4
5. 2x^2-2xy-3x+3y
6. 20x^2+6x-2
7. 2x^2+12x+18
8. 4x^5-64x
9.49x^10-112x^5+64
10.3ac+6ad+3bc+6bd

Answer 1

1. 5x + 25
5(x+5)

2. x^2 +4x-21
(x+7)(x-3)

3. 9x^2-16
(3x+4)(3x-4)

4. 25x^2-20x+4
(5x-2)^2

5. 2x^2-2xy-3x+3y
(2x-3)(x-y)

6. 20x^2+6x-2
20x^2+10x-4x-2
10x(x+2)-2(x+2)
(x+2)(10x-2)
=>2(x+2)(5x-1)

7. 2x^2+12x+18
2x^2+6x+6x+18
=2x(x+3)+6(x+3)
(x+3)(2x+6)
2(x+3)^2

8. 4x^5-64x
4x(x^6-16)
=4x(x^+4)(x+2)(x-2)
9.49x^10-112x^5+64
(7x^5-8)^2

10.3ac+6ad+3bc+6bd
3a(c+2d)+3b(c+2d)
=(c+2d)(3a+3b)
=3(a+b)(c+2d)

Answer 2

1. 5x + 25

In any factoring problem, first look for factors common to all the terms - here the common factor is 5

5(x + 5)


2. x^2 +4x-21

The factors will be of the form (x + a)(x + b) - multiplied out you have

x^2 + ax + bx + ab

So you ask yourself, what two numbers multiplied together (ab) give me - 21 and when added together (a + b) give me 4?

(x + 7)(x - 3)


3. 9x^2-16

This is the difference of two squares - the general form is

a^2 - b^2

This can be written as

a^2 + 0ab - b^2

What two numbers multiplied together give - 1 and added together give 0?

a^2 + 0ab - b^2 = (a + b)(a - b)

9x^2 - 16 = (3x + 4)(3x - 4)


4. 25x^2-20x+4

Factors will be of the form (ax + b)(cx + d)

Choices for a & c are 1 & 25, 5 & 5 and choices for b & d are 1 & 4, 2 & 2

By trial and error (5x - 2)(5x - 2)

See also the lesson at the link below


5. 2x^2-2xy-3x+3y

This can be factored by grouping - factor 2x from the left two terms and - 3 from the right two terms

2x(x - y) - 3(x - y)
(2x - 3)(x - y)

Be careful with signs

Answer 3

Here are the first three:

1. 5x + 25 = 5(x + 5)

2. x^2 + 4x - 21 = (x + 7)(x - 3)

3. 9x^2-16 = (3x + 4)(3x - 4)

You should try the rest yourself.

Answer 4

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Answer 5

1. 5(x+5)
2. (x+7)(x-3)
3. (3x+4)(3x-4)
4. (5x-2)(5x-2)
5. (2x-3)(x-y)
6. (5x-1)(4x+2)
7. 2(x+3)(x+3)
8. x(2x^2+4)(2x^2-4)
9. (7x^5-8)(7x^5-8)
10. (3c+6d)(a+b)

Just take your time and work your way through it. I try to find common denominators between the three numbers and go from there.

Answer 6

1. x+5
2. (x+7)(x-3)
3. Prime

That is all I will help with but what you want to do is find out if the equation can be broken down to a simpler form. I hope the first three help.

Answer 7

yea little girl, like we're gonna sit here and do YOUR math homework for YOU...funny. and let me guess, you want to be a doctor when you grow up?