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Rufina [12.5K]
3 years ago
11

Write a polynomial function of least degree with integral coefficients that has the given zeros. 4, -6, 1

Mathematics
1 answer:
german3 years ago
7 0

Answer: f(x) = x³ + x² - 26x + 24

<u>Step-by-step explanation:</u>

x = 4             x = -6              x = 1

x - 4 = 0        x + 6 = 0         x - 1 = 0

(x - 4) (x + 6) (x - 1) = 0

(x² + 2x - 24)(x - 1) = 0

x(x² + 2x - 24)  -1(x² + 2x - 24) = 0

x³ + 2x² - 24x  -x² - 2x + 24  = 0

x³ + x² - 26x + 24 = 0

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Which equation is y = –3x2 – 12x – 2 rewritten in vertex form?
Andrej [43]
<span>The general equation of a quadratic is expressed as y = ax^2+bx+c. To convert the general equation to vertex form, we need to obtain this form:

(y- k)= a(x - h)^2

This could be done by using completing the square method.

</span><span>y = –3x^2 – 12x – 2
</span><span>y + 2 = –3(x^2 + 4x) 
</span>y + 2 -12 <span>= –3(x^2 + 4x + 4) 
</span>y - 10 = -3(x+2)^2

Therefore, the answer is the first option.
3 0
4 years ago
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Solve for A if F=MA and F=10 and M=2.5
gogolik [260]

Answer:

\boxed{\sf A = 4}

Given:

F = MA

F = 10

M = 2.5

To Find:

Value of A

Step-by-step explanation:

\sf Substituting \ values \ of \ F \ and \ M \ in \ F = MA:

\sf \implies 10 = 2.5A

\sf \implies 2.5A = 10

\sf Dividing \ both \ side \ of \  2.5A = 10 \ by \ 2.5:

\sf \implies \frac{2.5}{2.5} A  =  \frac{10}{2.5}

\sf \frac{2.5}{2.5}  = 1 :

\sf \implies  A  =  \frac{10}{2.5}

\sf \frac{4 \times  \cancel{2.5}}{ \cancel{2.5}}  = 4 :

\sf \implies A = 4

3 0
4 years ago
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11x - ? = 19x what is the missing number?
Verdich [7]

Answer:

8x !

Step-by-step explanation:

4 0
3 years ago
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(2) (x-7) (=3) (x+8)
Tasya [4]

Use the distributive property to get 2x - 14 = 3x + 24. Subtract 24 from both sides to get 2x - 38 = 3x. Subtract 2x from both sides to get -38 = x.

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3 years ago
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Which of these ordered pairs is a solution to the inequality
bezimeni [28]

Answer:

(1, -1)

Step-by-step explanation:

If you replace y and x with (1 and -1) you have -1 - 2^1 < -3

And that equals -3 if solved. The sign says equal to or less than, so you answer is (1, -1)

7 0
3 years ago
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