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3 years ago

SUBJECT: Algebra LESSON: Multiplying Polynomials (x^3 + 2x − 3)(x^4 − 3x^2 + x)

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

7 0

Answer:

Step-by-step explanation:

(x^3 + 2x − 3)(x^4 − 3x^2 + x)

Multiply each value of 2nd bracket with 1st bracket:

=x^4(x^3 + 2x − 3) - 3x^2(x^3 + 2x − 3) +x(x^3 + 2x − 3)

=x^7+2x^5-3x^4-3x^5-6x^3+9x^2+x^4+2x^2-3x

Now combine the terms with same power:

=x^7-x^5-2x^4-6x^3+11x^2-3x

You can also take the common from the expression:

x(x^6-x^4-2x^3-6x^2+11x-3)....

The product of (x^3 + 2x − 3)(x^4 − 3x^2 + x) is x(x^6-x^4-2x^3-6x^2+11x-3)....

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Algebraically, find all remaining zeros of f(x) = 8x^3 - 6x^2-36x +27 in simplest form.

viva [34]

Answer:

$x=-\frac{3\sqrt{2}}{2},\frac{3}{4},\frac{3\sqrt{2} }{2}$

Step-by-step explanation:

Given expression is,

f(x) = 8x³ - 6x² - 36x + 27

For zeros of the function,

f(x) = 0

8x³ - 6x² - 36x + 27 = 0

2x²(4x - 3) - 9(4x - 3) = 0

(2x² - 9)(4x - 3) = 0

(2x² - 9) = 0

x² = $\frac{9}{2}$

x = $\pm\frac{3}{\sqrt{2}}$

x = $\pm \frac{3\sqrt{2}}{2}$

Or (4x - 3) = 0

x = $\frac{3}{4}$

Therefore, all zeros of the given functions are $x=-\frac{3\sqrt{2}}{2},\frac{3}{4},\frac{3\sqrt{2} }{2}$ .

7 0

3 years ago

I’m confused can someone explain?

Novay_Z [31]

Answer:

It is 150 percent

Step-by-step explanation:

You can find this value by dividing the numerator by the denominator, summing this value to the integer part and multiplying the result by 100%, so:

1 1/2 in percent = (1 + 1/2) × 100% =

(1 + 0.5) × 100% = 1.5 × 100% = 150%

Hope this helps! Sorry if I'm wrong.

3 0

3 years ago

Read 2 more answers

Gerri spends 9/22 of her money on pencils and 2 22 on paper. What fraction of her money does she spend? Write your answer in sim

NNADVOKAT [17]

Answer:

1/2

Step-by-step explanation:

To find out how much money Gerri spent, add up the two fractions.

(9/22) + (2/22) = (11/22)

(11/22) can then be simplified to (1/2).

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4 years ago

Can someone help me out?<br> Factor 2x2b2 + 5xb2 + 2b2. Show your work.

Vsevolod [243]

Answer:
b²(2x+1)(x+2)

Explanation:
The given equation is:
2b²x² + 5xb² + 2b²
We can start by taking b² as a common factor, this will give us:
b² (2x² + 5x + 2)

Now, we have a trinomial quadratic equation that we need to factorize.
The general form of the quadratic equation is:
ax² + bx + c
The one we have is:
2x² + 5x + 2
By comparison:
a = 2
b = 5
c = 2

To get the factors, we will need to use the quadratic equation attached in the images.
By substitution, we would find that:
either x = -1/2.......> This means that the factor is (2x+1)
or x = -2........> This means that the factor is (x+2)

Now, back to our expression, we will replace the quadratic trinomial with its factored form to get the simplified expression:
b²(2x+1)(x+2)

Hope this helps :)

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4 years ago

Is 30 inches greater than 3 feet

seropon [69]

Answer:

1 feet = 12 inch

so, 3 feet = 36 feet

therefore, 3 feet is greater than 30 inch

8 0

3 years ago

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