The roots of the entire <em>polynomic</em> expression, that is, the product of p(x) = x^2 + 8x + 12 and q(x) = x^3 + 5x^2 - 6x, are <em>x₁ =</em> 0, <em>x₂ =</em> -2, <em>x₃ =</em> -3 and <em>x₄ =</em> -6.
<h3>How to solve a product of two polynomials </h3>
A value of <em>x</em> is said to be a root of the polynomial if and only if <em>r(x) =</em> 0. Let be <em>r(x) = p(x) · q(x)</em>, then we need to find the roots both for <em>p(x)</em> and <em>q(x)</em> by factoring each polynomial, the factoring is based on algebraic properties:
<em>r(x) =</em> (x + 6) · (x + 2) · x · (x² + 5 · x - 6)
<em>r(x) =</em> (x + 6) · (x + 2) · x · (x + 3) · (x + 2)
r(x) = x · (x + 2)² · (x + 3) · (x + 6)
By direct inspection, we conclude that the roots of the entire <em>polynomic</em> expression are <em>x₁ =</em> 0, <em>x₂ =</em> -2, <em>x₃ =</em> -3 and <em>x₄ =</em> -6. 
To learn more on polynomials, we kindly invite to check this verified question: brainly.com/question/11536910
<h3>
Answer: y = 3x+4</h3>
Slope = 3
y intercept = 4
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Explanation:
Let's find the slope.
The slope is m = 3.
The y intercept is b = 4 due to the point (0,4). The y intercept <u>always</u> occurs when x = 0.
We'll then plug those m and b values into y = mx+b to get the answer y = 3x+4
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As a way to check the answer, plugging x = 0 should lead to y = 4
y = 3x+4
y = 3*0+4
y = 0+4
y = 4
So that works out. Let's try x = 1. It should produce y = 7
y = 3x+4
y = 3*1+4
y = 3+4
y = 7
That works out also. The answer is fully confirmed.
Answer:
Step-by-step explanation:
Statistics as a data science is a way of getting information from data.
Statistics involves the review of data and using same through interpretation to arrive at some information.
It involves collecting and analyzing data, interpreting and presenting same in a manner where it becomes useful information to a reader.
Statistics is a branch of mathematics that deals with topics like mean, median, mode, histogram, bar and pie chart, percentiles, mean deviation, standard deviation, etc.
Answer:
may be 25
idk the real but might be 25
Step-by-step explanation:
B
Hope this helped I only did like 1 lesson on functions
