If (x^(2)-1) is a factor of ax^(3)-bx^(2)-ax+d, then find the relation between a and c .
If (x+1) is a factor of 2x^(3)+ax^(2)+2bx+1, then find the value of a and b given that 2a-3b=4.
答案 见解析 解析 解:f=3ax2-2(3+)x=x13ax-6-) 1当a=0时fx=-3x2+2x+1=-(x-1)13x+1) f'(x)=-6x+2 f令fix=0则x= :fix在(—00,)上单调递增在()+00,上单调递减 2当a0时令fx=0则x=0x x_2=(18+2a)/(9a) i当-9a0时x20 fix)在1—00、0)和(,+00)上单调递减 在10.)上...
相关知识点: 试题来源: 解析 ax^3+bx^2+cx+d÷ (x-p)=ax^2+(b+ap)x+(c+bp+ap^2) with remainder d+cp+bp^2+ap^3f(p)=ap^3+bp^2+cp+d=0, which matches theremainder, so (x-p) is a factor of f(x).反馈 收藏
If {x=1y=2and{x=2y=3 are the solutions of the linear equation in two unknowns ax by=15, the value of a b is ( ). A. 0 B. 15 C. 18 D. −18 相关知识点: 试题来源: 解析 A 将{x=1y=2和{x=2y=3代入ax+by=15, 得:{a+2b=152a+3b=15, ∴a+2b=2a+3b, ...
If the function f(x) = ax^3 + bx^2 + cx + d has a local maximum at x = 1 and a local minimum at x = -1, which of the following must be true? A. a < 0 B. a > 0 C. b = 0 D. c = 0 相关知识点: 试题来源: ...
16.译文:已知 f(x)=ax^3+bx^2+cx+d ,如果当x取相反数时,f(x)对应的值也是相反数并且f(2)=0,则(c+d)/(a+b)= 解:x的相反数是-x,由题设得a(-x)^3+b(-x)^2+c(-x)+d =- (ax^3+bx^2+cx+d) ,得到2bx2+2d=0.分别取0和1,得到2d=0,2b+2d=0解得b=d=0.由f(2)...
英语翻译8.Write down an expression for R1,the remainder when the polynomial 2x3 + ax2 – 6x + 1 is divided by (x + 2),and a similar expression for R2,the remainder when the same polynomial is divided by (x – 1).If R1 is twice R2,find the value of a.9.Th
百度试题 结果1 题目(3x+3)(ax-1)-x^2+3In the expression above, a is a constant. If the expression is equivalent to bx, where b is a constant, what is the value of b? ( ) A. -4 B. -2 C. 2 D. 4 相关知识点: 试题来源: ...
Answer to: If the characteristic polynomial of a 2 x 2 matrix is \lambda^{2} - 5\lambda + 6, then the determinant is 6. True False By signing up,...