All categories

3 years ago

Factor out the GCF from the given polynomial. 10^3 + 16^2 - 18x 10^3 + 16^2 - 18x = (Type your answer in factored form.)

Mathematics

1 answer:

Vesna [10]3 years ago

3 0

Correct question is;

Factor out the GCF from the given polynomial. 10x³ + 16x² - 18x. (Type your answer in factored form.)

Answer:

GCF = 5x² + 8x - 9

Step-by-step explanation:

The given polynomial is;

10x³ + 16x² - 18x

First thing is to inspect the coefficients and see the greatest number that all three can be divided by evenly without remainder.

The greatest number is 2.

Secondly let's inspect the variables to see what we can factor out.

They all contain x. Thus, x is a factor.

Thus, we will divide each term by 2x to obtain the GCF of the polynomial.

GCF = (10x³/2x) + (16x²/2x) - (18x/2x)

GCF = 5x² + 8x - 9

You might be interested in

What is the sum of the coefficients of the expression 3x^4+5x^2+x?

IrinaK [193]

Answer:

The sum of coefficients = 9

Step-by-step explanation:

The given expression is,

3x⁴ + 5x² + x

There are three terms in the given expression. All the terms contains variable x.

To find the coefficients of each terms

term coefficients

3x⁴ 3

5x² 5

x 1

To find the sum of coefficients

sum = 3 + 5 + 1 = 9

Therefore the sum of coefficients = 9

7 0

3 years ago

Read 2 more answers

Expand the expression: 2.2(-4k + 1)

evablogger [386]

Answer:

8.8k + 2.2

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Can you help me please.

frutty [35]

Answer:

option 2.

Step-by-step explanation:

You use the y-intercept form: y=mx+b

mx=slope, and b=y-intercept.

Looking at this graph, you can see that the slope is -2/3 (rise over run), and the line is negative, so the slope becomes negative.

So now, we can see the only option having the slop -2/3x is option 2.

5 0

4 years ago

Which value of d is a solution to equation 2.2d + 5.4= 12

ryzh [129]

Hello!

Answer:

d=3

*The answer must have a positive sign.*

Step-by-step explanation:

Distributive property: a(b+c)=ab+ac

First, you multiply by 10 from both sides of an equation.

$2.2d*10+5.4*10=12*10$

Then, you had to refine the problem down.

$22d+54=120$

Next, you subtract by 54 from both sides of an equation.

$22d+54-54=120-54$

Simplify.

$22d=66$

You can also divide by 22 from both sides of an equation.

$\frac{22d}{22}=\frac{66}{22}$

And finally, simplify and solve. You can also divide by the numbers.

$66/22=3$

Final answer: → $d=3$

Hope this helps!

Thanks!

-Charlie

Have a great day!

7 0

4 years ago

Read 2 more answers

ABC is an isosceles triangle with BA=BC

melomori [17]

Explanation:

1. ∠BAC≅∠BCA, ∠ABD≅∠ADB; Reason: definition of isosceles triangles

2. ∠ABD +∠BAC +∠ADB = 180°; Reason: sum of internal angles is 180°

3. ∠BAC = 180° -2(∠ABD) = 36°; Reason: Subtraction and substitution properties of equality

4. ∠BAC +∠BCA +∠ABC = 180°; Reason: sum of internal angles is 180°

5. ∠BCA = 180° -2(∠BAC) = 108°; Reason: Subtraction and substitution properties of equality

6. ∠ABD +∠DBC = ∠ABC; Reason: Angle sum theorem

7. ∠DBC = ∠ABC -∠ABD = 108° -72° = 36°; Reason: Subtraction and substitution properties of equality

8. ∠BCA = ∠BAC = 36°; Reason: Substitution property of congruence

9. ΔBCD is isosceles; Reason: Base angles DBC and BCA are congruent.

_____

There may be extra steps involved if you separately use subtraction and substitution properties of equality, or if you separately claim congruence of angles and equality of their measures. We have assumed that the definition of "isosceles triangle" includes the fact of equal side lengths and equal base angles.

5 0

3 years ago

Factor out the GCF from the given polynomial. 10^3 + 16^2 - 18x 10^3 + 16^2 - 18x = (Type your answer in factored form.)​

Factor out the GCF from the given polynomial. 10^3 + 16^2 - 18x 10^3 + 16^2 - 18x = (Type your answer in factored form.)