MATHEMATICS HIGH SCHOOL

Factor completely. b2 + 12b + 32
Factor completely: a2 - a - 20

Answers

Answer 1
Answer: Factoring the first polynomial expression completely will give us (b+4)(b+8). Try to check it for yourself by multiplying the factors and you will get b2+12b+32. For the second polynomial expression, the factors are (a-5)(a+4). To check, just do the FOIL method and you will get a2-a-20.
Answer 2
Answer:

Answer:

b² + 12b + 32 = (b + 8)(b + 4)

a² - a - 20 = (a - 5)(a + 4)

Step-by-step explanation:

b² + 12b + 32

To factor, let's find two numbers that multiply to 32, and add to 12.

I find the two numbers as 4 and 8.

We can expand 12b as 4b + 8b, and factor the pairs.

Factor:

  • b² + 12b + 32
  • b² + 4b + 8b + 32
  • (b² + 4b) + (8b + 32)
  • b(b + 4) + 8(b + 4)
  • (b + 8)(b + 4)

The factored form is (b + 8)(b + 4)

a² - a - 20

Using the same process, find two numbers that multiply to -20 and add to -1

The numbers are 4 and -5

Factor:

  • a² - a - 20
  • a² + 4a - 5a - 20
  • (a² + 4a) + (-5a - 20)
  • a(a + 4) -5(a + 4)
  • (a - 5)(a + 4)

The factored form is (a - 5)(a + 4)

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Marking brainlest if you answer ASAP!!!!plsss

Answers

Answer:

Add up the number of chocolate chips and then just search up waht is the median of ____.

Step-by-step explanation:

Hope this helped

Find the product of 3/8 x 2

Answers

Answer:

3/4 or 0.75

Step-by-step explanation:

To multiply 3/8 by 2, we either divide the denominator by 2, or multiply the numerator by 2

3/8*2=6/8

6/8 can be simplified to 3/4

3/4=0.75 same answer

How do I determine whether each binomial is a difference of two squares

Answers

A binomial is a difference of two squares if it can be written as a^2 - b^2. Note the subtraction sign. For example 9x^4 - 16 = (3x^2)^2 - 4^2 so it is a difference of two squares.

What is the sum of 1 7/8 and 2 3/8

Answers

1 7/8 + 2 3/8 = 3 2/8 = 3 1/4
4 1/4 because 7/8 plus 3/8 is 10/8 making that 1 1/4 then adding in the previous number 4 1/4.
Hope I helped!

What multiplies to get -210 and adds up to 11

Answers

210÷10=21. ....10 and 21
make the 10 neg n 21 pos

-10x21=-10
-10+21=11

PLEASE HELP! How do I solve this problem?

Answers


The toughest part of this problem could be deciding what names to give the quantities of one-Euro and two-Euro coins.

-- I called the number of one-Euro coins ' N '.
Each of them is worth 1 Euro, so all ' N ' of them are worth ' N ' Euros.

-- I called the number of two-Euro coins ' T '.
Each of them is worth 2 Euros, so all ' T ' of them are worth ' 2T ' Euros.

-- The total number of coins in Penny's pocket is (N + T), and it says there are 11.

-- Their total value is (N + 2T), and it says the total value is 18.

So now you have two equations, with two unknowns.

               N + 2T  =  18
               N +  T  =  11

Subtract the bottom equation from the top one, and you get:

          (N - N) + (2T - T)  =  (18 - 11)

                             T        =      7         (there are 7 two-Euro coins in her pocket)

That right there is the answer to the question, so you don't need to go
any farther.  But if you wanted to, you could also figure out how many
one-Euro coins there are in her pocket.


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