First step is to factor. With a polynomial function in the form ax² + bx + c = f(x), we have to find what factors of term C have a sum of term B.
So with this, we need factors of -90 add up to become -1. Your factors are - 10 and 9.
f(x) = x² + 9x - 10x - 90
Now we group together and pull out GCFs.
f(x) = (x² + 9x) + (10x - 90)
f(x) = x(x² + 9) - 10(x + 9)
f(x) = (x - 10)(x + 9)
Now, set each factor equal to zero.
x - 10 = 0, x + 9 = 0
For the first equation you are going to add 10 to both sides to get x by itself. Subtract 9 from both sides in the second equation for the same reason.
x = 10, x = -9
Your zeros are at x = -9, 10 or at the ordered pairs (-9, 0) and (10, 0).
(x+2)^6
=(x^2+4x+4)(x+2)^5
=(x^3+6x^2+12x+8)(x+2)^4
=(x^4+6x^3+24x^2+32x+16)(x+2)^3
=(x^5+8x^4+36x^3+80x^2+80x+32)(x+2)^2
=(x^6+10x^5+52x^4+152x^3+240x^2+192x+64)(x+2)
=x^7+12x^6+72x^5+254x^4+544x^3+472x^2+448x+164
Answer: x^7+12x^6+72x^5+254x^4+544x^3+472x^2+448x+164
Answer:
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Step-by-step explanation:
Answer:


Step-by-step explanation:
Given:
Length of rectangular garden = (x + 2) ft
Width = (x + 7) ft
Required:
a. Polynomial expression of the area of the garden
b. Polynomial expression of the perimeter of the garden
SOLUTION:
Area of the rectangular garden = length × width

Expand using the distributive property of multiplication



Perimeter = 2(length) + 2(width)


Collect like terms


Answer:
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Step-by-step explanation:
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