What is the product? 3x^5 (2x^2+4x+1)

Mathematics

2 answers:

s2008m [1.1K]2 years ago

8 0

Answer:

The product of the given polynomial $3x^5(2 x^2+4x+1)$ is $6x^7+12x^6+3x^5$

Step-by-step explanation:

Given: Polynomial $3x^5(2 x^2+4x+1)$

We have to find the product of the given polynomial $3x^5(2 x^2+4x+1)$

Consider the given polynomial $3x^5(2 x^2+4x+1)$

Apply distributive rule, $a(b+c)=ab+ac$

Multiply $3x^5$ with each term in brackets, we have,

$=3x^5\cdot \:2x^2+3x^5\cdot \:4x+3x^5\cdot \:1$

$=3\cdot \:2x^5x^2+3\cdot \:4x^5x+3\cdot \:1\cdot \:x^5$

Apply exponent rule, $a^b\cdot \:a^c=a^{b+c}$

Simplify, we have,

$=6x^7+12x^6+3x^5$

Thus, The product of the given polynomial $3x^5(2 x^2+4x+1)$ is $6x^7+12x^6+3x^5$

almond37 [142]2 years ago

5 0

<span><span>the answer is C.) 6x^7...
</span></span>

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Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 125, \sigma = 24$