let's recall the remainder theorem.
we know that (x-1) is a factor, that means x -1 = 0 or x = 1.
since we know that (x-1) is a factor, then dividing the polynomial by it will give us a remainder of 0, which correlates with saying that f(1) = 0, in this case, so we can simply plug in "1" as the argument, knowing it gives 0.
![f(x)=3x^3+kx-11\\\\[-0.35em]~\dotfill\\\\\stackrel{0}{f(1)}=3(1)^3+k(1)-11\implies \stackrel{f(1)}{0}=3+k-11\implies 0=-8+k\implies 8=k](https://tex.z-dn.net/?f=f%28x%29%3D3x%5E3%2Bkx-11%5C%5C%5C%5C%5B-0.35em%5D~%5Cdotfill%5C%5C%5C%5C%5Cstackrel%7B0%7D%7Bf%281%29%7D%3D3%281%29%5E3%2Bk%281%29-11%5Cimplies%20%5Cstackrel%7Bf%281%29%7D%7B0%7D%3D3%2Bk-11%5Cimplies%200%3D-8%2Bk%5Cimplies%208%3Dk)
X sqrd-4x+y sqrd-10= -29
y sqrd-10y = -29-X sqrd + 4X
y(y-10) = -29-X sqrd +4X
y = - 29 -X sqrd +4X ÷( y- 10)
Answer:
according to google there are 30 inches in a full step
Step-by-step explanation:
Answer:
B. FOIL
Step-by-step explanation:
FOIL stands for Firsts, Outsides, Insides, and Lasts
This is a mnemonic to help you to remember how to multiply two binomials
From the image, we can see that the on the right side of the equals,
is the product of the <u>firsts</u> of the binomials
is the product of the <u>outsides</u> of the binomials
is the product of the <u>insides</u> of the binomials
is the product of the<u> lasts</u> of the binomials.
Answer:
1/6
Step-by-step explanation:
If you divide the numerator and the denominator by 4, you will get a simplified fraction 1/6