The factors of given polynomial are:![(2x+9)(3x+7)](https://tex.z-dn.net/?f=%282x%2B9%29%283x%2B7%29)
Further explanation:
Factorization is either done by using quardatic formula or directly making factor.
For making factors, the constant term is multiplied with the coefficient of x^2 and pairs of factors are made such that their sum or difference is equal to the co-efficient of x.
Given
![6x^2+41x+63](https://tex.z-dn.net/?f=6x%5E2%2B41x%2B63)
63x6 gives us: 378
Factor pairs of 378 are:
182,2
126,3
54,7
42,9
14,27 => 41
So the pair we are going to use is 14,27
![6x^2+41x+63\\=6x^2+14x+27x+63\\=2x(3x+7)+9(3x+7)\\=(2x+9)(3x+7)\\](https://tex.z-dn.net/?f=6x%5E2%2B41x%2B63%5C%5C%3D6x%5E2%2B14x%2B27x%2B63%5C%5C%3D2x%283x%2B7%29%2B9%283x%2B7%29%5C%5C%3D%282x%2B9%29%283x%2B7%29%5C%5C)
So the factors of given polynomial are:![(2x+9)(3x+7)](https://tex.z-dn.net/?f=%282x%2B9%29%283x%2B7%29)
Keywords: Factorization, polynomials
Learn more about factorization at:
#LearnwithBrainly
Answer:
Thanks bro, I am taking the test currently and I came across this question.
Step-by-step explanation:
16) yes, they are reflections on a summit.
17) no parallelogram shown to answer question <span />
To approximate the P(x<27) we need to find the z-score of the data, this will be given by:
z=(x-μ)/σ
where:
μ-mean
σ-standard deviation
x=27, μ=32, σ=4
z=(27-32)/4
z=-5/4
z=-1.25
thus
P(x<27)=P(z<-1.25)
=0.1056
=10.56%
Answer: 10.56%