Whether dividing constant terms or polynomials, we always have definitive terms when it comes to division. Suppose we say, 10x divided by 2. The dividend is the 10x and the divisor is the 2. In other words, the dividend is the number to be divided by the divisor, to obtain the answer called the quotient.
When dividing polynomials, your main goal is to be able to divide the dividend evenly into the <em>divisor</em>. For example, we divide x²+2x+1 by x+1. The first thing you're going to focus is, what term will completely divide the first term of the polynomial? That would be x. Why? Because when you multiply x with x+1, the product is x²+x. When you subtract this from the polynomial, the x² will cancel out. All you have to do is subtract x from 2x, yielding x. Then, you carry down the last term of the equation: +1. You do the steps again. The term that will completely divide x+1 by x+1 is 1. When you subtract the two, you will come up with zero. That means there is no remainder. The polynomial is divisible by the divisor.
x + 1
------------------------------------
x+1| x²+2x+1
- x²+x
----------------------
x +1
- x +
------------
0
Ok, so the quadratic coefient is 1, so great
take 1/2 of the linear coefient and square it
10/2=5, (5)^2=25
add that to both sides
x^2+10x+25=7+25
factor perfect square trionomial
(x+5)^2=32
squaer root both sides
x+5=+/-4√2
minus 5
x=-5+/-4√2
x=-5+4√2 and -5-4√2
Answer for the question is A
Answer:
2/9
Step-by-step explanation:
y=6(3)^x
Let x =-3
y = 6 * 3^-3
Remember negative exponents move it from the numerator to the denominator
y = 6 *1/3^3
y = 6 * 1/27
y = 6/27
y = 2/9
Hello!
Question 6:
To find the area of the pennant, we need to multiply the length by the width.
12 x 18 = area
12 x 18 = 216
The answer is 216 square inches.
Question 7:
The perimeter of the square is 24cm and the area is 36 square cm.
The perimeter of the rectangle is 30cm and the area is 50 square cm.
They have different perimeters and different areas.
I hope this helps you! Have a great day!
-Mal