1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dafna1 [17]
3 years ago
11

1. Find the product (13 – x2)(x + 2). -x3 - 2x2 + 13x + 26

Mathematics
1 answer:
Eduardwww [97]3 years ago
3 0

Answer:

The product is -x³ - 2x² + 13x + 26

Step-by-step explanation:

* Lets revise how to find the product of two binomials

- If (ax ± b) and (cx ± d) are two binomials, where a , b , c , d are constant

 their product is:

# Multiply (ax) by (cx) ⇒ 1st term in the 1st binomial and 1st term in the

  2nd binomial

# Multiply (ax) by (d) ⇒ 1st term in 1st binomial and 2nd term in

  2nd binomial

# Multiply (b) by (cx) ⇒ 2nd term in 1st binomial and 1st term in

  2nd binomial

# Multiply (b) by (d) ⇒ 2nd term in 1st binomial and 2nd term in

  2nd binomial

# (ax ± b)(cx ± d) = cx² ± adx ± bcx ± bd

- Add the terms adx and bcx because they are like terms

* Now lets solve the problem

- There are two binomials (13 - x²) and (x + 2)

- We can find their product by the way above

∵ (13)(x) = 13x ⇒ 1st term in the 1st binomial and 1st term in the

  2nd binomial

∵ (13)(2) = 26 ⇒ 1st term in 1st binomial and 2nd term in

  2nd binomial

∵ (-x²)(x) = -x³ ⇒ 2nd term in 1st binomial and 1st term in

  2nd binomial

∵ (-x²)(2) = -2x² ⇒ 2nd term in 1st binomial and 2nd term in

  2nd binomial

∴ The product of (13 - x²)(x + 2) = 13x + 26 - x³ - 2x²

- There is no like terms

- Lets arrange the terms from greatest power to smallest power

∴ The product is -x³ - 2x² + 13x + 26

You might be interested in
The sum of two numbers is 55. The smaller number is 15 less than the larger number. What are the numbers?
Viktor [21]

Step-by-step explanation:

55=x+15

-15     -15

40=x

Hope it helps!

7 0
3 years ago
Read 2 more answers
What is C. PLEASE HELP ME IM SO CONFUSED!!!
vichka [17]
100-28-48-8= 16%


Hope it helped
5 0
3 years ago
Whats the distance between (8,-3) and (4,-7)
Shtirlitz [24]

Answer:

d=5.656854

Step-by-step explanation:

d=√ ( 4 − 8 ) 2 + (− 7 − (− 3 ) ) 2

d=√ ( − 4 ) 2 + ( − 4 ) 2

d= √ 16 + 16

d= √32

d=5.656854

7 0
3 years ago
Please help i dont get it
raketka [301]

<em>x</em> and <em>w</em> are parallel lines, so

• angles 2 and the one labeled 75º are congruent because they are alternating interior angles, and

• angles 1 and 2 are supplementary because they form a linear pair.

The first observation tells you that angle 2 has measure 75º, and angle 1 has measure <em>m</em> such that

<em>m</em> + 75º = 180º

so angle 1 has measure 180º - 75º = 105º.

6 0
3 years ago
What part of an algebraic expression 7a - 4 is the constant
Yuliya22 [10]
In the algebraic expression a constant is a fixed value, and in this case it is 4. If the question was asking for the coefficient, then the answer would’ve been 7 due to to variable being multiplied.
5 0
2 years ago
Other questions:
  • Define the term library​
    12·1 answer
  • I am confused by this can someone help me, please!<br> Everything is on the photo.
    13·2 answers
  • Help plz beed heeeeeellpp
    5·2 answers
  • Evaluate (-B)^2 for A = 5, B = -4, and C = 2.<br><br> A -4<br> B 16<br> C -16
    14·1 answer
  • On monday there is already 5.2 inches of snow on the ground.The snow falls at a rate of 1.5 inches per hour.how many inches of s
    9·1 answer
  • The value of Maggie’s car decreased by 20% since last year when she bought it if the car is not worth 21,000 how much was the ca
    7·1 answer
  • Which equation has no solution?
    7·1 answer
  • What do banana and grammar have in common?
    10·1 answer
  • 50 points!! Please help!! Will mark brainliest and random answers will be reported
    5·2 answers
  • Given the line 2x - 3y - 5 = 0, find the slope of a line that is perpendicular to this line. ​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!