Which model shows the correct factorization of x2 + 2x – 8?

Mathematics

2 answers:

zysi [14]3 years ago

5 0

Answer:

Step-by-step explanation:

Basically D

expeople1 [14]3 years ago

4 0

To factor x^2 + 2x - 8 follow these steps

1) Write to factors, with x as the first term, this way:

(x )(x )

2) The sign to the right of the x in the first factor is the same sign of the coeficient of x in the polynomial.

That is +.

The sign to the right of the x of the second factor is the product of the sign of the coefficent of x (this is +) and the sign of the independent term (this is - ).

So that is (+).(-) + -.

Now the two factors have this form:

(x + ) (x - )

3) Now find two numbers whose product is - 8 and whose difference is +2

Those numbers are + 4 and -2.

Then the two factors are:

(x + 4) (x - 2).

So the answer if that the correct factorization is (x + 4) (x - 2)

You might be interested in

If you shift the quadratic parent function, f(x)=x^2, right 10 units, what is the equation of the new function?

ololo11 [35]

F(x)=(x-10)^2

Right is negative
Left is positive

Remember that - those become handy later on. Try to become really good at transformations!

Good luck!

8 0

3 years ago

Read 2 more answers

When is the product of two nonzero integers less than or equal to both of the two factors

aleksley [76]

The answeris equall to because they are the same #

5 0

4 years ago

suppose someone tells you that she has a triangle with sides having lengths 2.6,8.1 and 8.6. Is this a right triangle? why or wh

sveta [45]

If you're only provided with the lengths of a triangle, and you're asked to determine whether or not the triangle is right or not, you'll need to rely on the Pythagorean Theorem to help you out. In case you're rusty on it, the Pythagorean Theorem defines a relationship between the legs of a right triangle and its hypotenuse, the side opposite its right angle. That relationship is a² + b² = c², where a and b are the legs of the triangle, and c is its hypotenuse. To see if our triangle fits that requirement, we'll have to substitute its lengths into the equation.

How do we determine which length is the hypotenuse, though? Knowledge that the hypotenuse is always the longest length of a right triangle helps here, as we can clearly observe that 8.6 is the longest we've been given for this problem. The order we pick the legs in doesn't matter, since addition is commutative, and we'll get the same result regardless of the order we're adding a and b.

So, substituting our values in, we have:

(2.6)² + (8.1)² = (8.6)²

Performing the necessary calculations, we have:

6.76 + 65.61 = 73.96
72.37 ≠ 73.96

Failing this, we know that our triangle cannot be right, but we do know that 72.37 < 73.96, which tells us something about what kind of triangle it is. Imagine taking a regular right triangle and stretching its hypotenuse, keeping the legs a and b the same length. This has the fact of increasing the angle between a and b. Since the angle was already 90°, and it's only increased since then, we know that the triangle has to be obtuse, which is to say: yes, there's an angle in it larger than 90°.

3 0

3 years ago

Through: (-4,-3), slope = 1 Standard form from a point and a slope

morpeh [17]

Answer:

y=-4/-3x+1

Step-by-step explanation:

8 0

3 years ago

PLEASE HELP GEOMOTRY"the ratio of the angles of a pentagon is 1:2:2:3:4 find the largest angle"

RideAnS [48]

The largest angle of the pentagon with the given ratio of angles is: 180°.

<h3>What is a Pentagon?</h3>

A pentagon is a 5-sided polygon with 5 interior angles that have a sum of 540 degrees.

If the ratio of the angles are: 1:2:2:3:4, then the largest angle would be calculated as shown below:

4/(1+2+2+3+4) × 540

4/12 × 540 = 180°

The largest angle is: 180°.

Learn more about pentagon on:

brainly.com/question/1419173

#SPJ1

3 0

2 years ago