All categories

3 years ago

Zeros of polynomials (with factoring

Mathematics

2 answers:

Anon25 [30]3 years ago

3 0

Answer:

x = -5/2 x=1 x = -1

Step-by-step explanation:

p(x) = 2x^3 + 5x^2 – 2x – 5

Use factor by grouping

p(x) = 2x^3 + 5x^2 – 2x – 5

Factor x^2 from the first group and -1 from the second group

x^2(2x +5) -1( 2x+5)

Then factor out 2x+5

p(x) = (2x+5) (x^2-1)

Factor x^2 -1 as the difference of squares

p(x) = (2x+5)(x-1)(x+1)

Set to zero to find the x intercepts

0 = (2x+5)(x-1)(x+1)

Using the zero product property

2x+5 =0 x-1 =0 x+1 =0

2x = -5 x=1 x=-1

x = -5/2 x=1 x = -1

kirill115 [55]3 years ago

3 0

Answer:

The zeroes are (-1,0), (1, 0) and (-5/2, 0)

Step-by-step explanation:

We can find the zeroes by factoring:

2x^3 + 5x^2 - 2x - 5 = 0

x^2(2x + 5) - 1(2x + 5) = 0

(x^2 - 1)(2x + 5) = 0

(x - 1)(x + 1)(2x + 5) = 0

So x = -1, 1, -5/2.

You might be interested in

HELP FAST!!! Here are two rectangles. The length and width of one rectangle are 8 and 5. The width of the other rectangle is 5,

deff fn [24]

Answer:

5•x=? and 8•5=40, personal opinion: the left rectangle is most likely a square so if you need to solve it it's 5•5=10

Step-by-step explanation:

A(area)=l (length)•w (width)

just plug in your numbers, in this case it would be 8(length) times 5(width)

6 0

3 years ago

Richard is selling candy bars for a school fundraiser on Monday he has 225 bars Remaining he sells an average of 30 bars per day

Softa [21]

Answer:

Mon - Fri: 4 days 4*30 = 120 bars given away. 225 - 120 = 135 bars

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Which statement is true about the equations –3x + 4y = 12 and 1/4x –1/3 y = 1?The system of the equations has exactly one soluti

iren [92.7K]

Answer:

The system of the equations has no solution; the two lines are parallel.

Step-by-step explanation:

The equations have the same slope. In standard form, this can be seen as the same coefficients for x and y. We will multiply the second equation by -12 to reveal this.

$\frac{1}{4} x-\frac{1}{3}y=1 \\-12(\frac{1}{4} x-\frac{1}{3}y=1)\\\frac{-12}{4} x-\frac{-12}{3}y=-12\\-3x+4y=-12$

This means the equations are parallel and will never cross. There is no solution.

4 0

2 years ago

HELP IM GIVING 20 POINTS LIKE PLZZ I NEED HELP

maria [59]

Answer:

price = 4.1

cost = 12.3

Step-by-step explanation:

price = 0.8+1.2+1.5+0.6 = p4.1

cost = 2.40+3.60+4.50+1.80 = $12.3

3 0

2 years ago

The areas of two similar triangles are 18 cm^2 and 8 cm^2. One of the sides of the first triangle is 4.5 cm. What is the length

Nataly_w [17]

Answer:

3 cm

Step-by-step explanation:

The ratio of areas of similar figures is the square of the ratio of linear dimensions. That means the ratio of linear dimensions is the square root of the area ratio. The ratio of the smaller triangle dimensions to the larger is then ...

k = √((8 cm^2)/(18 cm^2)) = √(4/9) = 2/3

Then the corresponding side of the smaller triangle is ...

... k · (4.5 cm) = (2/3)·(4.5 cm) = 3 cm

5 0

3 years ago