Answer:
Step-by-step explanation:
(x⁴+ax²+b) ÷ (x+1) = x³-x²+(a+1)x-(a+1) remainder b+(a+1)
Since x+1 is a factor, b+(a+1) = 0.
(x³-x²+(a+1)x-(a+1)) ÷ (x+2) = x²-3x+(a+7) remainder -3a-15
Since x+2 is a factor, -3a-15 = 0
a = -5
b = 4
x⁴+ax²+b = x⁴ - 5x² + 4 = (x²-4)(x²-1) = (x+2)(x-2)(x+1)(x-1)
Desmos comes in handy with these problems. Use the "FOIL" method for each of them and then plug them into the calculator of desmos. This will graph each other them. Note the x and y axis'
Example for (A) y= (x-2)(x+3) foil it:
x^2+3x-2x-6
x^2+x-6
plug that in and match to graph.
Answer:
300
Step-by-step explanation:
Since it says first rounding both numbers to the tenth place you will round 12 and 27
12 = 10
27 = 30
10 times 30 = 300
Hope this helps dude