All categories

3 years ago

Factor the following expression 10x^5+5x^3-14x^2-7-

Mathematics

1 answer:

Tatiana [17]3 years ago

5 0

Answer:

C. (5x^3-7)(2x^2+1)

Step-by-step explanation:

Given expression is,

10x^5+5x^3-14x^2-7

=10x^5-14x^2 + 5x^3 - 7 (By the commutative property)

=2x^2(5x^3-7)+5x^3-7 (Taking 2x^3 common from first two terms )

=(5x^3-7)(2x^2+1) (Taking 5x^3-7 common from both terms)

\implies 10x^5+5x^3-14x^2-7=(5x^3-7)(2x^2+1)

Hence, Option C is correct

You might be interested in

Are all horizontal lines parallel

miskamm [114]

<span>By definition, lines are parallel if they have the same gradient (slope). Any horizontal line has a gradient of 0, so it is parallel to any other horizontal line</span>

7 0

3 years ago

A pair of equations is shown below:

Lana71 [14]

Part A: To solve graphically we have to graph first by plotting the y-int which is -9 & -1. Than use the slops 7/1 & 3/1
part B: (2,5)

4 0

3 years ago

Bath and 1 yard of ribbon. She is 1/2 yard for project. She wants to divide the rest of the ribbon into pieces 1/4 yards long. H

ikadub [295]

Answer:

Step-by-step explanation:

Given:

Total length of ribbon = 1 yard

Length of ribbon used for project = $\frac{1}{2}$ yard

Length of ribbon the rest of ribbon is to be divided = $\frac{1}{4}$ yard

To find:

The number of ribbons of length $\frac{1}{4}$ yard that can be made = ?

Solution:

Length of ribbon left after the 1 yard ribbon is used for project can be calculated by subtracting the length of ribbon used from the initial length of ribbon.

i.e.

Length of ribbon left = $1-\frac{1}{2} =\frac{1}{2}$ yard

Now, number of ribbon of length $\frac{1}{4}$ yard can be found be dividing the length of ribbon left with the length of ribbon pieces to be cut.

i.e.

Number of ribbons:

$\dfrac{\frac{1}{2}}{\frac{1}{4}}\\\Rightarrow \dfrac{1}{2}\times 4 = 2$

3 0

3 years ago

If angle 2 = 106 degrees, what is the measurement of angle 6 ? ( better explanation in picture )

Triss [41]

angle 2 and angle 6 are corresponding angles.

Since the lines crossed by the trnasversal are parallel, corresponding angles are congruent. (equal)

angle 6 = 106°

4 0

1 year ago

Amanda selected 18 pea pods at random from a bag containing about 500 pea pods. She opened each pod and counted the number of pe

kkurt [141]

C.....sorry if im wrong

6 0

3 years ago