<span>22 w-(-14 w)
= 22w + 14w
= 36w</span>
<span>dividend x3 - 11x2 + 16x + 84
- divisor * x2 x3 - 7x2
remainder - 4x2 + 16x + 84
- divisor * -4x1 - 4x2 + 28x
remainder - 12x + 84
- divisor * -12x0 - 12x + 84
remainder 0
Quotient : x2-4x-12 Remainder: 0
Step-1 : Multiply the coefficient of the first term by the constant 1 • -12 = -12
Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -4 .
-12 + 1 = -11
-6 + 2 = -4 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 2
x2 - 6x + 2x - 12
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-6)
Add up the last 2 terms, pulling out common factors :
2 • (x-6)
Step-5 : Add up the four terms of step 4 :
(x+2) • (x-6)
Which is the desired factorization
Final result :
(x + 2) • (x - 6) • (x - 7)</span>
Work shown above! Shaded region is the enclosed area
Determine which of the following terms is a function: a. (1,2) (2,4) (3,5) c. (1,2) (2,4) (2,6) b. (1,2) (2,3) (1,5) d. (1,2) (3
Komok [63]
In a function, X does not repeat.
Your answer is A.
<span>a (1,2) (2,4) (3,5)
</span>there are different x values for
each point, so this IS A FUNCTION.
<span>
b. (1,2) (2,3) (1,5)
</span>there are two values of x being 1,
so this is NOT A FUNCTION.
<span>c. (1,2) (2,4) (2,6)
</span>there are two values of x being 2
so this is NOT A FUNCTION.
<span>
d. (1,2) (3,5) (3,7)</span>there are two values of x being 3,
so this is NOT A FUNCTION.
hope this helps and have a great day!
