Answer:
The remainder theorem
Step-by-step explanation:
The remainder theorem states that given a polynomial f(x) and a linear factor x - k as in the question, then if f(x) is divided by x - k, then remainder is obtained at the value of x - k = 0 ⇒ x = k. That is, the remainder is f(k) when x = k.
For example, if we have a polynomial f(x) = x³ + 3x² -2x + 1 and a linear factor x - 1. The remainder theorem states that the remainder when f(x) is divided by x - 1 is obtained by equating the factor to zero and finding the value of x.
So, x - 1 = 0 ⇒ x = 1
Substituting x = 1 into f(x), we have
f(x) = x³ + 3x² -2x + 1
f(1) = 1³ + 3(1)² -2(1) + 1
= 1 + 3 - 2 + 1
= 3.
So, the remainder is 3.
Answer:
1,458,783,255,601
Step-by-step explanation:
(-1,099)^2
Break it apart:
(-1,099)*(-1,099)
Multiply the signs and numbers:
Two negatives make a positive so you are left with just 1,207,801.
Next, you square 1,207,801:
(1,207,801)*(1,207,801)
And you get the number 1,458,783,255,601
Answer:
D. DE = 24 yd, EF = 10 yd
Step-by-step explanation:
Solve for the unknown angles by setting up common ratios and cross multiplying. You can use this method because they are similar triangles.
For example, DE can be found by setting the ratios of AC/AB equal to the ratio of DF/DE.
13/12 = 26/x
Simply solve for x!
Answer:
C. 72
Step-by-step explanation:
the answer is C because if you divide 84 by 7 you get 12 so you then multiply 6 by 12 and get 72. the answer could not be negative 72 because that would then make the equation positive.
