All categories

2 years ago

Simplify the expression to a polynomial in standard form. (x-2)(x2 +7x +4)

Mathematics

1 answer:

goldenfox [79]2 years ago

5 0

Answer:

Step-by-step explanation:

(x - 2)(x² + 7x + 4) = x(x² + 7x + 4) - 2*(x² + 7x + 4)

= x*x² + x*7x + 4*x - 2*x² -2* 7x -2* 4

= x³ + 7x² + 4x - 2x² -14x -8

= x³ + <u>7x² - 2x²</u> <u>+ 4x - 14x</u> - 8

= x³ + 5x² - 10x - 8

You might be interested in

The electrician charges $50 per visit plus $12 per hour of work. Steve hires the electrician to do some work for his house. If S

TEA [102]

Answer:

12.5 hours

Step-by-step explanation:

budget: 200

fix cost: 50

hourly rate: 12

hours: ?

----

First we deduct the fix 50 dollars cost from the total budget.

Then we divide the remaining amount with the hourly rate

( 200 - 50 ) / 12 = ?

? = 12.5 hours

8 0

3 years ago

What are the x and y intercepts of the equation 2x-y=4

Len [333]

Answer:

x-intercept:(2,0)

y-intercept:(0,-4)

Step-by-step explanation:

3 0

2 years ago

What is the length of the shadow cast by a 12-foot lamp post when the angle of elevation of the sun is 60º? (to the nearest tent

elena-s [515]

Answer:

6.9 foot.

Step-by-step explanation:

Given: Length of lamp post= 12-foot.

The angle of elevation of the sun is 60°.

∴ The length of Lamp post, which is opposite is 12-foot.

Now, finding the length of shadow cast by foot lamp.

Length of shadow is adjacent.

∴ We know the formula for $Tan\theta$ = $\frac{Opposite}{adjacent}$

Next, putting the value in the formula.

⇒ $Tan 60° = \frac{12}{adjacent}$

Cross multiplying both side and using the value of Tan 60°

∴ Adjacent= $\frac{12}{\sqrt{3} } = 6.92$ ≅ 6.9 (nearest tenth value)

6.9 is the length of shadow cast by a 12-foot lamp post.

3 0

2 years ago

A point is reflected across the y axis the new point is located at -4.25,-1.75 write the order pair that represents the original

Naya [18.7K]

Answer:

(4.25, - 1.75)

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ), thus

(- 4.25, - 1.75 ) → (4.25, - 1.75 ) ← original point

5 0

3 years ago

Factor 9(n − 4) − 4n(n − 4)

schepotkina [342]

Hey there :)

9( n - 4 ) - 4n ( n - 4 )
We can take ( n - 4 ) as common as both are getting multiplied by ( n - 4 )

We can join 9 - 4n together

Therefore, the final answer will be ( n - 4 )( 9 - 4n )

4 0

2 years ago

Read 2 more answers