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lbvjy [14]
2 years ago
7

Use the method of equating coefficients to find the values of a, b, and c: (x+4)(ax2+bx+c)=−2x3−7x2+3x−4.

Mathematics
1 answer:
enot [183]2 years ago
5 0

The values of the coefficients a, b and c in the equation is -2, 1 and -1 respectively.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

Given the polynomial:

-2x³ - 7x² + 3x - 4

Simplifying:

= -(2x² - x + 1)(x + 4)

Hence:

-2x³ - 7x² + 3x - 4 = (-2x² + x - 1)(x + 4)

(x + 4)(ax² + bx + c) = −2x³ − 7x² + 3x − 4

The values of the coefficients a, b and c in the equation is -2, 1 and -1 respectively.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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One root of a third degree polynomial function f(x) is -5 + 2i. Which statement describes the number and nature of all
Sauron [17]

Answer:

f(x) has two imaginary roots and one real root.

Step-by-step explanation:

Complex roots:

I a complex number a + bi is a root of a polynomial, it's conjugate a - bi is also a root.

One root of a third degree polynomial function f(x) is -5 + 2i.

This means that -5 - 2i is another root of the polynomial, and thus, 2 of the roots are complex.

Third degree, so it has three roots, which means that the third root is real(not possible to have a complex root without it's conjugate), and thus, the correct answer is:

f(x) has two imaginary roots and one real root.

7 0
3 years ago
Priya and han plan a fundraiser for the running club.
Lilit [14]

Answer:a

Step-by-step explanation:

6 0
3 years ago
Write the equation. Lucy rides her bike 20 km every week how many km dose Lucy ride her bike in 7 weeks?
Snezhnost [94]
Let K = km in 7 weeks

Equation:

K = 7(20)
5 0
3 years ago
9. Use the distance formula to find the distance between the points (-4,-4) and (4,4).​
Tanzania [10]

Answer:

16

Step-by-step explanation:

Distance formula = (x_{1}-x_{2})+(y_{1}-y_{2})

Depending on which point is A and Which point is B, the answer is one of the two.

However, there is no such thing as negative distance, so your answer is 16 points in a certain direction.

6 0
2 years ago
Explain how to decide which is a better value. 4 greeting cards for $10 and 6 greeting cards for $14.
xxMikexx [17]

Answer:

I dont know if this is supposed to be solved a certain way for a class, but as a bargain shopper, this is what I would do to figure out the best value.

Step-by-step explanation:

First divide $10 by 4:   10.00/4=2.5 or $2.50 per card

Then, divide $14 by 6:  14.00/6=2.3333333 so about $2.33 per card

Now, just look at the two answers and see which one is less.

If you buy 4 cards for $10, you will pay $2.50 for each card and if you buy 6 cards for $14, you will pay about $2.33 for each card. Therefore, the better value would be the 6 cards for $14.

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3 years ago
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