Answer: x = -3/4 can not be a rational zero of the polynomial.
Step-by-step explanation:
We have the polynomial:
6x^5 + ax^3 -bx -12 = 0.
The theorem says that:
If P(x) is a polynomial with integer coefficients, and p/q is a zero of P(x) then p is a factor of the constant term (in this case the constant term is -12) and q is a factor of the leading coefficient (in this case the leading coefficient is 6.).
The factors of -12 (different than itself) are (independent of the sign).
1, 2, 3, 4 and 6.
So p can be: 1, -1, 2, -2, 3, -3, 4, -4, 6, -6.
The factors of 6 are:
1, 2 and 3, so q can be 1, -1, 2, -2, 3, -3.
Then the option that can not be a zero of the polynomial is
x = -3/4
because the number in the denominator must be a factor of the leading coefficient, and 4 is not a factor of six.
Answer:
The maximum number of bottles in each box is equal to 9.
Step-by-step explanation:
Garth bought 18 bottles, Rico bought 36 bottles, and Mai bought 45 bottles. We need to find the maximum number of bottles in each box. It can be calculated using HCF of 18, 36 and 45
The factors of 18 are: 1, 2, 3, 6, 9, 18
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 45 are: 1, 3, 5, 9, 15, 45
Then the greatest common factor is 9.
So, there are 9 bottles in each box.
Answer:
a) 1cm
b) 2cm and 3 cm
c) the next set of blocks that would be added would be 4 and 10 cm
d) well each block is a centimeter each time you add a block it adds a centimeter.
e) well since we have ten we would put another 4 cm of bocks to make 14 squares
Step-by-step explanation:
Well, if he has two bags with 6 tiles each, you need to add up the number of tiles he has in total, so 6+6=12, which will be your denominator. Then to find the numerator, you have to think about how many even tiles that he has in total. 2, 4, and 6 are even numbered and he has two sets of each of those. So using that, what do you think the answer is? ^.^
