A
Write in notable product form:
25x2-20x+4
(5x-2)2
P(x) = -x2-x-2. Calculate the numerical value if x=-2
P(2) = -4
P(x) = x3+2x2-5. Calculate the numerical value if x=-3
P(-3) = -14
Write in notable product form:
49z2-36x2
(7z+6x)(7z-6x)
P(x) = –x3–3x2–x+2. Calculate the numerical value if x=-4
P(-4) = -106
P(x) = 4x3 +6x2 -2x+3
Q(x) = 2x3 -x+7
R(x) = 7x2 -2x+1
Calculate P(x) - Q(x) - R(x)
2x3-x2+x-5
P(x)=2x5 -3x4 +3x2 -5
Q(x)=x5 +6x4 -4x3 -x+7
Calculate P(x)+Q(x)
3x5+3x4-4x3+3x2-x+2
P(x) = 4x3 +6x2 -2x+3
Q(x) = 2x3 -x+7
R(x) = 7x2 -2x+1
Calculate P(x) + Q(x) + R(x)
6x3 +13x2 -5x+11
Calculate 5x3· 3x2y · (−4xz3)=
-60x6yz3
P(x)=2x5 -3x4 +3x2 -5
Q(x)=x5 +6x4 -4x3 -x+7
Calculate P(x)-Q(x)
x5-9x4+4x3+3x2+x-12
(3x3-2x2+5)(4x2+3x-1)
12x5+x4-9x3+22x2+15x-5
Calculate:
(x3-6x2-5x+2) : (x-1)
c(x)=x2-5x-10
R(x)=-8
P(x) = 4x3 +6x2 -2x+3
Q(x) = 2x3 -x+7
R(x) = 7x2 -2x+1
P(x) + 3Q(x) - 2R(x) ?
10x3-8x2-x+22
(x3-2x2+x)(x2+3x-5)
x5+x4-10x3+13x2-5x
Calculate:
(x6+ 2x5 - 3x4 + 6x - 8) : (x - 3)
c(x)=x5+5x4+12x3+36x2+108x+330
R(x)=982
Calculate:
(3x^4+x^3+5x^2+x-5) : (x^2-3x+1)
c(x)=3x2+10x+32
R(x)=87x-37
P(x)=4x3 +6x2 -2x+3
Q(x)=2x3 -x+7
R(x)=7x2 -2x+1
Calculate P(x)-Q(x)·R(x)
-14x5 +4x4 +9x3 -45x2 +13x-4
P(x)=x2–kx+2. Calculate the value of k if P(-2)=8
k=1
P(x)=4x3 +6x2 -2x+3
Q(x)=2x3 -x+7
R(x)=7x2 -2x+1
Calculate P(x)·[Q(x)+R(x)]
8x6 +40x5 +26x4 +6x3 +75x2 -25x+24
Calculate:
(x^5+5x^4+2x^3+13x^2+13x+2):(x^3+3x-2)
c(x)=x2+5x-1
R(x)=26x
Factor the following polynomial and find its roots:
x^3+3x^2-x-3
(x-1)(x+1)(x+3)
Roots: 1,-1,-3
Factor the following polynomial and find its roots:
x^3+4x^2+5x+2
(x+1)2(x+2)
Roots: -1, -2
Factor the following polynomial and find its roots:
2x^4+10x^3-8x^2-40x
2x(x-2)(x+2)(x+5)
Roots: 0, 2, -2, -5
Factor the following polynomial and find its roots:
x^3+x^2-8x-12
(x+2)2(x-3)
Roots: -2, 3
Factor the following polynomial and find its roots:
2x^4-x^3-4x^2-3x-2
(x+1)(x-2)(2x2+x+1)
Roots: -1, 2