Select all the factors of: 7x2 − 28 options: 7 7x (x + 2) (x − 2) (x2 + 4)

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

8 0

Answer:

7(x-2)(x+2)

Step-by-step explanation:

7x^2 -28

Factor out a 7

7(x^2 -4)

The terms inside the parentheses is the difference of squares, so it is factorable (a^2-b^2) = (a-b)(a+b)

7(x-2)(x+2)

You might be interested in

What is the value of x?<br> Enter your answer in the box.<br> units

sineoko [7]

Answer:

x = 28

Step-by-step explanation:

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

Then x/(x +10) = 42/(42 +15)

x(57) = 42(x + 10)

57x = 42x + 420

15x = 420

x = 28

8 0

2 years ago

Find the exact value of cot 7pi/4 & sec13pi/6 including quadrant location

Gennadij [26K]

First we will convert those radian angles to degrees, since my mind works better with degrees. Let's work one at a time. First, $\frac{7 \pi }{4} * \frac{180}{ \pi }=315$ . If we start at the positive x-axis and measure out 315 we end up in the 4th quadrant with a reference angle of 45 with the positive x-axis. The side across from the reference angle is -1, the side adjacent to the angle is 1, and the hypotenuse is sqrt2. The cotangent of this angle, then is 1/-1 which is -1. As for the second one, converting radians to degrees gives us that $\frac{13 \pi }{6} * \frac{180}{ \pi } =390$ . Sweeping out that angle has us going around the origin more than once and ending up in the first quadrant with a reference angle of 30° with the positive x-axis. The side across from the angle is 1, the side adjacent to the angle is √3, and the hypotenuse is 2. Therefore, the secant of that angle is 2/√3.

3 0

3 years ago

After solving the equation x^2+ 9 = 6x, Donna stated that the Fundamental Theorem of Algebra is true for this equation. However,

Georgia [21]

Answer:

Step-by-step explanation:

The Fundamental Theorem of Algebra states that the number of complex roots a polyomial has is equal to its highest exponent. This is a squared polynomial; second degree; quadratic. When it is factored, no matter what types of numbers you get as the solution, you will ALWAYS have 2 of them. When this quadratic is factored, we get that x = 3 and x = 3. That means that this is a quadratic that touches the x-axis at (3, 0). It doesn't go through, it only touches. We do have 2 roots, but since they're the same, we say we have a multiplicity 2 of that root. The closest you'll come to that in your choices is A. Apparently your text refers to multiplicity 2 as a double root.

3 0

3 years ago

Q.1 Simplify :-<br><br>(i) (- 625 ) + 925 + 100 + (-200)

Dmitrij [34]

825 - 625i

Hope it’s right
Best luck with your studying

3 0

2 years ago

factor 3a^5-18a^3+6a^2, I know the answer is 3a^2(a^3-6a+2) but I am so lost on how to get the factor of 3a^2..How in the world

rusak2 [61]

Answer:

$\huge\boxed{3a^2(a^3-6a+2)}$