3 years ago

Factor the expression: 5x^3 + 10x^2 + 15x

Mathematics

1 answer:

Ber [7]3 years ago

3 0

5x (x^2 + 2x +3) i think

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Write a polynomial equation in standard form with the following zeros<br><br> 4,9

Evgen [1.6K]

Answer:

y = x² - 13x + 36

Step-by-step explanation:

Given the zeros x = 4 and x = 9, then the corresponding factors are

(x - 4) and (x - 9)

The polynomial is then the product of the factors

y = (x - 4)(x - 9) ← expand using FOIL

y = x² - 13x + 36

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The total interest on a 5 year 5.2% loan with a principal of $10,000 is 10,000 × 0.052 × 5 = $2,600.

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Step-by-step explanation:

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2 years ago

Find all the zeros for each function P(x)=x^4-4x^3-x^2+20x-20

ivanzaharov [21]

Answer:

The zeros of the given polynomial function are

2,2, $\pm\sqrt{5}$

Step-by-step explanation:

Given polynomial is $P(x)=x^4-4x^3-x^2+20x-20$

To find the zeros equate the given polynomial to zero

ie., P(x)=0

$P(x)=x^4-4x^3-x^2+20x-20=0$

By using synthetic division we can solve the polynomial:

2_| 1 -4 -1 20 -20

0 2 -4 -10 20

_____________________

1 -2 -5 10 |_0

Therefore x-2=0

x=2 is a zero of P(x)

Now we can write the cubic equation as below:

$x^3-2x^2-5x+10=0$

Again using synthetic division

2_| 1 -2 -5 10

0 2 0 -10

______________

1 0 -5 |_0

Therefore x-2=0

x=2 is also a zero of P(x).

Now we have $x^2+0x-5=0$

$x^2-5=0$

$x^2=5$

$x^=\pm\sqrt{5}$ is a zero of P(x)

Therefore the zeros are 2,2, $\pm\sqrt{5}$

8 0

3 years ago