Answer:
The w in w² + 5·w → Variable
The 2 in w² + 5·w → Exponent
The 5 in w² + 5·w → Coefficient
Step-by-step explanation:
1) The variable in an equation are the unknown values of the equation, and the values of the variables that meet the requirements of the equality are known as the solutions of the equations;
2) The exponent is the power to which a number or a variable is raised. It shows the number of times the variable or number multiples itself
3) The coefficient is the factor multiplying the variable in an equation or expression.
Answer:x=9
Step-by-step explanation:
-4=5-x
Add x on both sides
x-4=5
Add 4 on both sides
x=5+4
Solve
x=9
The smallest prime number of p for which p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.
<h3>What is the smallest prime number of p for which p must have exactly 30 positive divisors?</h3>
The smallest number of p in the polynomial equation p^3 + 4p^2 + 4p for which p must have exactly 30 divisors can be determined by factoring the polynomial expression, then equating it to the value of 30.
i.e.
By factorization, we have:
Now, to get exactly 30 divisor.
- (p+2)² requires to give us 15 factors.
Therefore, we can have an equation p + 2 = p₁ × p₂²
where:
- p₁ and p₂ relate to different values of odd prime numbers.
So, for the least values of p + 2, Let us assume that:
p + 2 = 5 × 3²
p + 2 = 5 × 9
p + 2 = 45
p = 45 - 2
p = 43
Therefore, we can conclude that the smallest prime number p such that
p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.
Learn more about prime numbers here:
brainly.com/question/145452
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2.3 recurring
Hope this helps you
