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3 years ago

Multiply the following polynomials

Mathematics

2 answers:

Sophie [7]3 years ago

6 0

Answer (2x + 7) • (x2 - 2)

Step-by-step explanation:

please give me brainlest!!

Step by step solution :

Step 1 :

Trying to factor as a Difference of Squares :

1.1 Factoring: x2-2

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 2 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.

Final result :

(2x + 7) • (x2 - 2)

ser-zykov [4K]3 years ago

3 0

Answer:

2x^3+7x^2-4x-14

Step-by-step explanation:

It's a long step of distributing across the problem.

2x times x^2 is 2x^3 since exponents work through addition.

7 times x^2 is 7x^2 much like the the first part.

2x times -2 is negative 4x.

7 times -2 is negative 14.

Simply distributing is all you need to do.

I hope this helps! ^.^

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Which equations can be used to solve for acceleration? Select four options.

sweet [91]

Equations for the acceleration: $a=\frac{v-u}{t}, v=u+at$

Step-by-step explanation:

The acceleration of a body is the rate of change in velocity of the body; it is given by

$a=\frac{v-u}{t}$

where

v is the final velocity

u is the initial velocity

t is the time taken for the velocity to change from u to v

The equation can be also written as

$v=u+at$

Therefore, these two equations can be used to find the acceleration.

Learn more about acceleration:

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3 0

3 years ago

If a car can drive 62 miles on 3 gallons of gas, how many gallons of gas will it use to travel 231 miles?

aksik [14]

Answer:

11 gallons of gas is needed to travel 231 miles.

Step-by-step explanation:

We can set up a proportion for this problem.

<em>For every 62 miles, you use 3 gallons of gas. </em>

$\frac{62}{3}*\frac{231}{?}$

Now, let's cross multiply.

$\frac{693}{62}$ ≈ $11$

So, you will need about 11 gallons of gas to travel 231 miles.

8 0

4 years ago

The length of a rectangle is three inches more than the width. the area of the rectangle is 180 inches. find the width of the re

ch4aika [34]

We have a rectangle with length L that is 3 inches more than the width W. Then we can write this as:

$L=W+3$

The area of the rectangle is 180 square inches.

We have to find the width W.

As the area is equal to the product of the length and the width, we can write this equation and solve for W as:

$\begin{gathered} A=180 \\ L\cdot W=180 \\ (W+3)\cdot W=180 \\ W^2+3W=180 \\ W^2+3W-180=0 \end{gathered}$

We have a quadratic equation. The roots of this equation will be the mathematical solutions.

We can find the roots using the quadratic formula:

$\begin{gathered} W=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ W=\frac{-3\pm\sqrt[]{3^2-4\cdot1\cdot(-180)}}{2\cdot1} \\ W=\frac{-3\pm\sqrt[]{9+720}}{2} \\ W=\frac{-3\pm\sqrt[]{729}}{2} \\ W=\frac{-3\pm27}{2} \\ W_1=\frac{-3-27}{2}=-\frac{30}{2}=-15 \\ W_2=\frac{-3+27}{2}=\frac{24}{2}=12 \end{gathered}$

The solutions are W = -15 and W = 12.

The first one is not valid, as W has to be greater than 0.

Then, the solution to our problem is W = 12 in.

Answer: the width is W = 12 inches.

6 0

1 year ago

PLEASE HURRY! I NEED AN ANSWER, THANKS! :)

Svetradugi [14.3K]

Answer: D) Inverse does not exist

<u>Step-by-step explanation:</u>

The top row is 0 0 , which makes the determinant equal to zero.

The reciprocal of 0 is undefined so there cannot be an inverse for this matrix.

5 0

4 years ago

What number is represented by their question mark if row 2 is LinkedIn row 1 ?

kenny6666 [7]

Answer:

hi branliest me me bhi krunga

5 0

3 years ago