In order to use the remainder theorem, you need to have some idea what to divide by. The rational root theorem tells you rational roots will be from the list derived from the factors of the constant term, {±1, ±5}. When we compare coefficients of odd power terms to those of even power terms, we find their sums are equal, which means -1 is a root and (x +1) is a factor.
Dividing that from the cubic, we get a quotient of x² +6x +5 (and a remainder of zero). We recognize that 6 is the sum of the factors 1 and 5 of the constant term 5, so the factorization is
... = (x +1)(x +1)(x +5)
... = (x +1)²(x +5)
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The product of factors (x +a)(x +b) will be x² + (a+b)x + ab. That is, the factorization can be found by looking for factors of the constant term (ab) that add to give the coefficient of the linear term (a+b). The numbers found can be put directly into the binomial factors to make (x+a)(x+b).
When we have 1·5 = 5 and 1+5 = 6, we know the factorization of x²+6x+5 is (x+1)(x+5).
Answer:
second option: 32.8 m, 48.2 m, 81.1 m
Step-by-step explanation:
20.2 m + 20.4 m = 40.6 m. which is bigger than 20.6 m. so yes
32.8 m + 48.2 m = 81 m. which is smaller than 81.1 m. so no
12.8 m + 25.7 m = 38.5 m. which is bigger than 35.9 m. so yes
35.6 m + 49.9 m = 85.5 m. which is bigger than 83.2 m. so yes
For this case we have that by definition of trigonometric relations of a rectangular triangle, that the sine of an angle is given by the opposite leg to the angle on the hypotenuse of the triangle. While the tangent of the same angle is given by the leg opposite the angle on the leg adjacent to the angle.
Then, according to the figure we have:
Answer:
Let's determine the
measures of the angles
formed by two heights of an equilateral triangle.
Answer:
quadrant 3
Step-by-step explanation:
you go to the left 1/2 and down 1.8, putting you in quadrant 3
