Possible roots are formed using the last term (12) of the given function and the 1st term (1) as your basis:
Since factors of 12 include plus or minus 1, 2, 3, 4, 6, 12,
possible rational roots include plus or minus 1/1, 2/1, 3/1, 4/1, 6,/1, 12/1 (and so on.) I will take a chance and try the possible root 6/1, or just plain 6.
Use synthetic division, with 6 as the divisor and all of the coefficients of <span>x^5+3x^4-5x^3-15x^2+4x+12 as dividend: ______________________ 6 / 1 3 -5 -15 4 12 6 54 -------------------------------- 1 9 49 This is not going to work; 6 is not a root.
3/4 and 3/8 have to have equal denominators, so multiply 3/4 by 2/2 because it's equal to one, so it doesn't change the value of the fraction, but it makes the denominator (the number on the bottom) bigger. 3/4 x 2/2 = 6/8 Now subtract. 6/8 - 3/8 = 3/8 Don't subtract the denominators. 3/8 can't be simplified.
As RA is parallel to ET, the angle in R is equal to the angle in T, and the angle in A is equal to the angle in E, so the triangle RAS is similar to the triangle SET.
If RT is 21 units, we have that RS + ST = 21 -> RS = 21 - ST
Using a rule of three with the sides of the triangle (as they are proportional), we have: