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stepan [7]
2 years ago
12

Which expression is equivalent to (3x² + 3x - 3) - (6x² - 4x - 2)?

Mathematics
1 answer:
Marat540 [252]2 years ago
5 0

Answer:

A. 12x^{4} -4x^{3} +3x^{2} +3x+20

Step-by-step explanation:

For this problem, we have to combine like terms.

Let's look at the equation:

(12x^{4} -4x^{3} +7x+6)+(3x^{2} -4x+14)

12x^{4, -4x^{3}, 3x^{2} do not have any other like terms, so we keep all in the final answer.

7x and -4x are like terms, so we combine them. 7x-4x=3x

14 and 6 are like terms, so we combine them. 14+6 = 20

Let's put everything into the final equation:

12x^{4} -4x^{3} +3x^{2} +3x+20

So, the final answer is A. 12x^{4} -4x^{3} +3x^{2} +3x+20

Hope this helps! If you have any questions about my work, leave them in the comments below!

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Ymorist [56]

Answer:


if you use a calculator its easy


16.72 - 1.24 = 15.48

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for sales tax 1.24 divided by 12 is .10


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3 years ago
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anastassius [24]

Answer:

a) f(x)=3x^{3}-6x^{2}-15x+30

Step-by-step explanation:

1) In this question we've been given "a", the leading coefficient. and two roots:

x_{1}=\sqrt{5}\:x_{2}=2

2) There's a theorem, called the Irrational Theorem Root that states:

If one root is in this form x'=\sqrt{a}+b  then its conjugate x''=\sqrt{a}-b. is also a root of this polynomial.

Therefore

x_3=-\sqrt{5}

3) So, applying this Theorem we can rewrite the equation, by factoring. Remembering that x is the root. Since the question wants it in this expanded form then:

f(x)=3(x-\sqrt{5})(x+\sqrt{5})(x-2)\Rightarrow 3x^{3}-6x^{2}-15x+30

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3 years ago
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Answer:

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Step-by-step explanation:

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