Answer:
a- (x-7)(x+9) | b- 193*207 | c- 242*258
Step-by-step explanation:
a)
x^2+2x-63.
the middle number is <em>2 </em>and the last number is <em>-63</em>.
You would have 2 numbers that add to 2 and multiply to -63.
Those numbers are -7 and 9.
so (x-7)(x+9).
b)
((200)-7)((200)+9)
(193)(209).
You can check this by multiplying 193 by 209 and then doing (200)^2+2(200)-63. Both would equal 40337.
c)
2(x-7)+2(x+9)=1000
(2x-14)+(2x+18)=1000
4x+4=1000
4x=996
x=249.
((249)-7)((249)+9)
(242)(258)
A polynomial with solution must be a multiple of . So, your polynomial must be a multiple of
But this is already a cubic polynomial, so it can only be a multiple in a numerical sense:
The coefficient can be found imposing the condition about the y-intercept. The y-intercept is nothing more than the polynomial evaluated at zero:
And we want this to be -12, so we have
So, your polynomial is
And if you expand it it becomes
x = 4 and y = 9 and z = 7
x(y + z - 32) = 4 · (9 + 7 - 32) =
= 4 · (16 - 32) = 4 · (-16) = <u>-</u><u>6</u><u>4</u>
The answer is 2^5r^5
,.. ....