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Digiron [165]
3 years ago
14

Simplify (3x2 − 2) (5x2 5x − 1).

Mathematics
1 answer:
Evgen [1.6K]3 years ago
5 0
If you would like to simplify (3x^2 - 2) * (5x^2 + 5x - 1), you can calculate this using the following steps:

(3x^2 - 2) * (5x^2 + 5x - 1) = 3x^2 * 5x^2 + 3x^2 * 5x - 3x^2 * 1 - 2 * 5x^2 - 2 * 5x + 2 * 1 = 15x^4 + 15x^3 - 3x^2 - 10x^2 - 10x + 2 = 15x^4 + 15x^3 - 13x^2<span> - 10x + 2
</span>
The correct result would be 15x^4 + 15x^3 - 13x^2<span> - 10x + 2.</span>
You might be interested in
If a polynomial function f(x) has roots 1+square root of 2 and-3, what must be a factor of f(x)?
nevsk [136]
To find the factor a a polynomial from its roots, we are going to seat each one of the roots equal tox, and then we are going to factor backwards.

We know for our problem that one of the roots of our polynomial is -3, so lets set -3 equal tox and factor backwards:
x=-3
x+3=0
(x+3) is a factor of our polynomial.

We also know that another root of our polynomial is 1+ \sqrt{2}, so lets set 1+ \sqrt{2} equal to x and factor backwards:
x=1+ \sqrt{2}
x-1= \sqrt{2}
x-1- \sqrt{2}=0
(x-(1+ \sqrt{2})=0
((x-(1+ \sqrt{2} )) is a factor of our polynomial.

We can conclude that there is no correct answer in your given choices.
8 0
3 years ago
Match each pair of polynomials to their sum.
Alex17521 [72]
<span>Answers:

(12x^2 + 3x + 6) + (-7x^2 – 4x – 2) = 5x^2 - x + 4

(2x2 – x) + (-x – 2x2 – 2) = -2x - 2 

(x3 + x2 + 2) +  (x2 – 2 – x3) = 2x^2 

(x2 + x) + (x2 + 8x – 2) = 2x^2 + 9x - 2
</span><span>
</span>
4 0
3 years ago
Solving one-step inequalities by multiplying/dividing<br><img src="https://tex.z-dn.net/?f=14v%20%5Cleqslant%2014" id="TexFormul
liubo4ka [24]

Answer: v <= 1


Step-by-step explanation:

When you have a variable by a number, you do the opposite of multiplying, so you divide

Since there's only 14v you divide 14 from itself leaving just the variable

14 ÷ 14 = 1

You repeat this and divide on the other side

14 ÷ 14 = 1

Since you arent dividing by a negative on both sides, the arrow stays the same

v <= 1

Hope this helps!


5 0
3 years ago
A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the len
Aleonysh [2.5K]

Answer:

The length is 15 yards

Step-by-step explanation:

Given

Represent the width with W and length with L: So

Area = 135yd^2

L=3W - 12

Required

Determine the length of the rectangle:

Area is calculated as thus:

Area = L * W

Substitute 3W - 12 for L and 135 for Area

135= (3W - 12) * W

135= 3W^2 - 12W

Reorder:

3W^2 - 12W - 135= 0

Divide through by 3

W^2 - 4W - 45 = 0

Expand:

W^2  - 9W + 5W - 45 = 0

W(W  - 9) + 5(W - 9) = 0

(W + 5)(W-9) = 0

W + 5 = 0 or W - 9 = 0

W = -5 or W = 9

But width can't be negative

So:

W = 9

Recall that: L=3W - 12

L = 3 * 9 - 12

L = 15

<em>Hence, the length 15 yards</em>

4 0
3 years ago
I need help please and thank you
myrzilka [38]

Answer:

3

Step-by-step explanation:

Slope = y2- y1/ x2- x1

= 4 - (-2) / 3 -1

= 4+2/ 2

=6/2 = 3

4 0
3 years ago
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