!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1) a = 4851
4851:147=33
2) нет . получается число с остатком: 43209863 , 75
Представьте в виде произведения многочлен:
<span>
1)3x³+3y³ =3 (x+y)(x^2-xy+y^2)
2)5m^4-320mn³ =5m(m^3 - 64n^3) = 5m[m^3 -(4n)^3] = 5m(m-4n)(m^2+4mn + +16n^2 )
3)6c^5-6c^8 = 6c^5(1-c^3) = 6c^5(1 - c)(1+c+c^2)
№716.Разложите на множители:
1)с^6+с^9 = c^6(1 + c^3) = c^6(1+c)(1-c+c^2)
2)m^9-n^9 = (m^3)^3 - (n^3)^3 = (m^3 - n^3)(m^6 +m^3n^3 +n^6
3)a^8-b^4 = a^5*a^3 - b*b^3 = (a^5*a - b*b)[(a^5*a)^2 +a^5*a*b*b + (b*b)^2] =
= (a^6 - b^2)(a^12 + a^6b^2 + b^4)
№718.Разложите на множители:
1)15сx+2cy-cxy-30c = 15c(x-2) - cy(x-2) = (x-2)(15c -cy) = c(15-y)(x-2)
2)35a²-42ab+10a²b-12ab² = 5</span><span>a² (7+2b) - 6ab(7+2b) = ((7+2b)(</span><span><span>5a² - 6ab) =
=a(5a-6b)(7+2b)
</span> 3)x³+x²y+x²+xy = </span><span>x²(x+1) + xy(x+1) = (x+1)(</span><span><span>x²</span> + xy)
4)mn^4-n^4+mn³-n³
= n^4(m-1) + n^3(m-1) = (m-1)(n^4+n^3)
</span>
x^3 + 3x^2 - 4x - 12 = 0
x^3 + 3x^2 - 4x - 12 = (x^2 - 4)(x+3)
(x^2 - 4)(x+3)=0
x=2, x=-2, x=-3