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4 years ago

Find the product. x3(x2+5x+1)

Mathematics

1 answer:

Stella [2.4K]4 years ago

4 0

Answer: x^5+5x^4+x^3

Step-by-step explanation:

assuming the expression is x^3(x^2+5x+1) each term in the bracket is multiplied by x^3

x^3(x^2+5x+1)

=(x^3*x^2)+(x^3*5x)+(x^3*1)

=x5+5x^4+x^3

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How to factorised quadratics in simple form thank you

photoshop1234 [79]

Answer:

ax²+ bx + c = 0

Step-by-step explanation

Multiplying (x+4) and (x−1) together (called Expanding) gets x2 + 3x − 4 :

expand vs factor quadratic

So (x+4) and (x−1) are factors of x2 + 3x − 4

Just to be sure, let us check:

(x+4)(x−1) = x(x−1) + 4(x−1)

= x2 − x + 4x − 4

= x2 + 3x − 4 yes

Yes, (x+4) and (x−1) are definitely factors of x2 + 3x − 4

6 0

3 years ago

A neighborhood development that is 4 acres is to be divided into 2/3 acre lots. How many lots can be created?

mihalych1998 [28]

6 lots can be created

Solution:

Given that neighborhood development that is 4 acres is to be divided into $\frac{2}{3}$ acre lots

To find: number of lots created

From given information,

Total acres = 4

one lot = $\frac{2}{3} \text{ acres }$

So number of lots created can be found by dividing the total acres by acre of 1 lot

Thus the formula is:

$\text{ Number of lots } = \frac{\text{ total acres }}{\text{ acre of 1 lot }}$

Substituting the values we get,

$\text{Number of lots } = \frac{4}{\frac{2}{3}} = 4 \times \frac{3}{2} = 6$

Thus 6 lots can be created

6 0

4 years ago

Solve the quadratic equation: 3x2 + x - 5 = 0

Yuri [45]

Hey there!

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

This equation is in standard form, which is $ax^2+bx+c=0$ .

We are going to solve this with the quadratic equation, so we need to find the values for a, b, and c in the given equation. We can just look at it and identify the variables.

a = 3, b = 1, c = -5

Let's plug these values into the quadratic equation:

$x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

$x=\frac{-1\pm\sqrt{1^2-4(3)(-5)} }{2(3)}$

Multiply 4(3)(-5) together and multiply 2(3). Square 1.

$x=\frac{-1\pm\sqrt{1+60} }{6}$

Add 1 and 60.

$x=\frac{-1\pm\sqrt{61} }{6}$

This is our answer in exact form. If you need this as an approximate value, let me know and I will do that for you.

Hope this helps!

8 0

3 years ago

What is 48 times 77 equal

ladessa [460]

3696 is what it equals

5 0

3 years ago

Read 2 more answers

Can someone please help?

Nataliya [291]

2 sundaes at 4.85 each.....estimation = 2(5) = $ 10
5 banana splits at 5.99 each...estimation = 5(6) = $30
3 fizzies at 2.95 each...estimation = 3(3) = $ 9
4 mocktails at 3.50 each...estimation = 4(4) = $ 16
totaling $ 65........for 7 people = 65/7 = 9.28 rounds to 9

so the 9 in Millie's calculation represents how much each person will have to pay

6 0

3 years ago