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Vsevolod [243]
3 years ago
6

Factor completely 7x^2+35x+42

Mathematics
2 answers:
exis [7]3 years ago
8 0

For this case we must factor the following expression:

7x ^ 2 + 35x + 42

We take common factor 7:

7 (x ^ 2 + 5x + 6)

Now, to factor the expression within the parenthesis, we look for two numbers that, when multiplied, result in 6 and when added, result in 5. These numbers are 3 and 2:

3 + 2 = 5\\3 * 2 = 6

Thus, the factored expression is:

7(x+3)(x+2)

ANswer:

7 (x + 3) (x + 2)

quester [9]3 years ago
7 0

Answer:

7(x+2)(x+3)

Step-by-step explanation:

Factor out a the greatest common factor

The greatest common factor is 7

7x^2+35x+42

=7(x^2+5x+6)

=7(x+2)(x+3)

​

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3 0
3 years ago
Find the zeros of the quadratic function: y= 6(7x + 9)(8x - 3).
fiasKO [112]

Answer:

A) (-9/7,0), (3/8,0)

Step-by-step explanation:

Zeros of a quadratic function:

x for which y = 0.

In this question:

y = 6(7x + 9)(8x - 3)

It's 0 if one of the factors is 0. 6 is never 0, now about the other to:

7x + 9 = 0

7x = -9

x = -\frac{9}{7}

So (-9/7, 0) is a zero of the quadratic function.

The other is:

8x - 3 = 0

8x = 3

x = \frac{3}{8}

(3/8,0) is the other zero.

Thus, the correct answer is given by option A.

6 0
3 years ago
What is the area of a quadrilateral with vertices at (-2, - 6),
svet-max [94.6K]

Answer:

18 sq. unit

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4 0
3 years ago
Which of the following could NOT be the lengths of the sides of a triangle?
Furkat [3]

Given:

Sides of triangles in the options.

To find:

Which could NOT be the lengths of the sides of a triangle.

Solution:

Condition for triangle:

Sum of two smaller sides of a triangle must be greater than the longest side.

In option A,

5+5=10>5

Sides 5 in, 5 in, 5 in are the lengths of the sides of a triangle.

In option B,

10+15=25>20

Sides 10 cm, 15 cm, 20 cm are the lengths of the sides of a triangle.

In option C,

3+4=7>5

Sides 3 in, 4 in, 5 in are the lengths of the sides of a triangle.

In option D,

8+5=13

Since, the sum of two smaller sides is less than the longest side, therefore the sides 8 ft, 15 ft, 5 ft are not the lengths of the sides of a triangle.

Therefore, the correct option is D.

8 0
3 years ago
Which number would divide the numerator and the denominator of the first
harkovskaia [24]

Answer:

2/2

Step-by-step explanation:

Let the numerator and denominator be x/x

10/12÷x/x=5/6

10x/12x=5/6

x/x=5/6÷10/12

x/x=5/6×12/10

x/x=2/2

Therefore the numbers are 2/2

4 0
3 years ago
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