Which of the following is the correct factorization of the polynomial below?
1 answer:
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Answer:
4
Step-by-step explanation:
Since the question is asking how long will it take him if he has to drive 240 miles and he drives 60 mph, this can be interpreted as division.
Now that we have converted the words into math, we are really solving 240 ÷ 60 or .
240 divided by 60 is the same as 24 divided by 6 because we can cancel the 0's.
Solving:
24 ÷ 6 = 4.
Thus, our answer is that it will take Charlie 4 hours to get to Dallas.
Answer:
(d - 5)^6 = d^6 - 30*d^5 + 375*d^4 - 2500*d^3 + 9375*d^2 - 18750*d + 15625
Step-by-step explanation:
Suppose you have (x + y)^6, the numbers in the 6th row of Pascal's triangle are the coefficients of the terms in a sixth order polynomial.
In the figure attached, Pascal's triangle is shown.
The coefficients are 1, 6, 15, 20, 15, 6,1. Then:
(x + y)^6 = x^6 + 6*x^5*y + 15*x^4*y^2 + 20*x^3*y^3 + 15*x^2*y^4 + 6*x*y^5+ y^6
Replacing x = d and y = -5:
(d - 5)^6 = d^6 + 6*d^5*(-5) + 15*d^4*(-5)^2 + 20*d^3*(-5)^3 + 15*d^2*(-5)^4 + 6*d*(-5)^5+ (-5)^6
(d - 5)^6 = d^6 - 30*d^5 + 375*d^4 - 2500*d^3 + 9375*d^2 - 18750*d + 15625
