<span> (x + 3) • (x - 12)
</span>
The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -9x </span> its coefficient is <span> -9 </span>.
The last term, "the constant", is <span> -36 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span>
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is <span> -9 </span>.
<span><span> -36 + 1 = -35</span><span> -18 + 2 = -16</span><span> -12 + 3 = -9 That's it</span></span>
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 3
<span>x2 - 12x</span> + 3x - 36
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-12)
Add up the last 2 terms, pulling out common factors :
3 • (x-12)
Step-5 : Add up the four terms of step 4 :
(x+3) • (x-12)
Which is the desired factorization
Final result :<span> (x + 3) • (x - 12)</span>
Answer:
Answer:
As x→∞ , f(x)→-∞
As
x→-∞ , f(x)→∞
Step-by-step explanation:
End behavior is determined by the degree of the polynomial and the leading coefficient (LC).
The degree of this polynomial is the greatest exponent, or
3
.
The leading coefficient is the coefficient of the term with the greatest exponent, or
2
.
For polynomials of even degree, the "ends" of the polynomial graph point in the same direction as follows.
Even degree and positive LC:
As x→∞ , f(x)→∞ As x→∞, f(x)→∞
Even degree and negative LC:
As x→−∞ , f(x)→−∞
As
x→∞ , f(x)→−∞
Answer:
D
Step-by-step explanation:
3x and 30 are vertically opposite angles and congruent, then
3x = 30 ( divide both sides by 3 )
x = 10 , thus
3x = 3 × 10 = 30°
x = 10 ; angle measure is 30° → D
Answer:
(−3)(7+1)
Step-by-step explanation:
Answer:
x=10
Step-by-step explanation:
