AStatement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Let P(x)=x^3+kx^2-3x+6By the Factor theorem, as x-2 is a factor then P(2)=0∴(2)^3+k(2)^2-3(2)+6=0∴8+4k=0 and so k=-2Now x^3+2x^2-3x+6=(x-2)(x^2+ax-3) for some constant a.Equating coefficients of x^2 gives: -2=-2+a i.e., a=0Equating coef...
百度试题 结果1 题目find the value of k such that x-2 is a factor of kx³-21x²+24x-4 相关知识点: 试题来源: 解析 x-2=0时,kx³-21x²+24x-4=0。因此将x = 2代入,得8k - 21×4 + 24×2 - 4 = 0。k = 5
【题目】1Find the value ofk such that x-2 is a factor ofkx3-21x2+24x-4.求k的值使得-2为kx3-21x2+24x-4的因式.2Figure shows the graph ofy=15x2-63x+72.Q isa variable point on the graph in the first quadrant.P and R are the feet of the perpendiculars from Q to the x-axis...
For a polynomial p(x), the value of p(3) is -2. Which of the following must be true about p(x)? () A. x-5 is a factor of p(x). B. x-2 is a factor of p(x). C. x+2 is a factor of p(x). D. The remainder when p(x) is divided by x-3 is -2. 相关...
1. “X is a multiple of Y.”(X是Y的倍数。) 例如:12 is a multiple of 4. 2. “X is divisible by Y.”(X可以被Y整除。) 例如:12 is divisible by 3. 3. “X is a factor of Y.”(X是Y的因数。) 例如:3 is a factor of 9. 4. “X times Y is Z.”(X乘以Y是Z。) 例如:...
Given that x - 2 is a factor of {eq}x^3 - kx^2 + 5x + k {/eq}, calculate the value of k. The Factor Theorem: If {eq}x - a {/eq} is a factor of the polynomial {eq}p(x) {/eq}, then {eq}x = a {/eq} is a zero of {eq}p(x) {/eq} an...
首先你的表达式中:(x-α)(ax^2+bx+c)=0,α和a你不混淆了,这个式子前一个α是一个根。 而小a是个系数不是根。并且三次方程应该是有三个解。你写的什么±1,±2, ±3, ±6均不对。我给你分解一下。这个式子简单在能够看出如何凑元。你说的α*c=6是第5行中第二个二次方程中得到...
【解析】(1)Solution:If x-1 is a factor of p(x) then p(1)=0By Factor Theorem⇒(1)^2+(1)+k=0 ⇒1+1+k=0 ⇒2+k=0 ⇒k=-2 (2)Solution:If x-1 is a factor of p(x), then p(1)=02(1)2+k(1)+√2=02+k+√2=0k=-(2+√2) (3)Solution:If x-1 i a ...
逐步逼近法。先求拐点。令y =x³-12x+16.,微分它:dy/dx=3x²-12=0;得:x²=4.,x=+-2 .再看图象就知道了。