Answer:
see below
Step-by-step explanation:
If (x+5) is a factor of p(x), then the value x=-5 will make that factor be zero. The product p(x) of which it is a part will also be zero, so p(-5) = 0.
Since p(-5) = 0 at x=-5, there will be an x-intercept at x=-5.
Dividing something by a factor of that thing will always give a remainder of zero. So, p(x)/(x+5) has a remainder of 0.
Answer:
c = 7
d = 5
Step-by-step explanation:
combining coefficient a with the nth root of b: a√ⁿb = √ⁿ((a)ⁿb). This is the reverse of simplifying a radical.
8x³√²7x = √²((8x³)²)√²(7x) = √²(64x⁶)√²(7x) = √²((64x⁶)(7x)) = √²((64 × 7)(x⁶ × x)) = √²((448)(x⁷)) = √²448x⁷ →
√²448x⁷ = √²448xᶜ.
7 → c, √²448x⁷ = √²448x⁷, c = 7.
4x√³9x² = √³((4x)³)√³(9x²) = √³(64x³)√³(9x²) =
√³((64x³)(9x²)) = √³((64 × 9)(x³ × x²)) = √³((576)(x⁵)) = √³576x⁵ →
√³576x⁵ = √³576xᵈ.
5 → d, √³576x⁵ = √³576x⁵, d = 5.