Factor this polynomial completely. 12x^2+ x-6
1 answer:
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Answer:
Step-by-step explanation:
The altitude falls in the middle of the line.
So, the point at which it falls in the bottom line is the midpoint, so the length of the blue triangle would be 6/2 = 3
So, the blue triangle has length of 3 and height of H and hypotenuse of 10.
Now, we will use Pythagorean Theorem to solve for H. The theorem is:
Leg^2 + Another Leg^2 = Hypotenuse^2
We know one leg of the triangle is 3 and another leg is H and hypotenuse is 10, so we substitute and solve:
This is the exact answer for H
Answer:
2x² + 3x + 4 + (17x + 9) / (x² − 4)
Step-by-step explanation:
Start by setting up the division. Make sure to write all the coefficients, even the zero ones.
x² + 0x − 4 | 2x⁴ + 3x³ − 4x² + 5x − 7
Start by dividing the first term of the dividend (2x⁴) by the first term of the divisor (x²). That's 2x²; it'll be the first term in quotient. Multiply the divisor by 2x²:
2x⁴ + 0x³ − 8x²
Subtract that from the first three terms of the dividend:
3x³ + 4x²
Drop down the next term from the dividend, and start the process all over again.
3x³ + 4x² + 5x
When you finish, the quotient will be 2x² + 3x + 4, and the remainder will be 17x + 9.
