If x + 2 and x − 1 are the factors of x3 + 10x2 + mx + n, then the values of m and n are respectively
Question
Solution 1
To find the values of m and n, we can use the fact that if x + 2 and x - 1 are factors of x^3 + 10x^2 + mx + n, then when we substitute x = -2 and x = 1 into the expression, the result should be zero.
Step 1: Substitute x = -2 into the expression: (-2)^3 + 10(-2)^2 + m(-2) + n = 0 -8 + 40 + (-2m) + Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv
Similar Questions
If x + 2 and x − 1 are the factors of x3 + 10x2 + mx + n, then the values of m and n are respectively
Rolle's Theorem is valid for the given function f(x)=x3+bx2+cx,1≤x≤2 at the point x= 43, then values of b and c are respectively
Let f(x)=(x+3)2(x−2)3,x∈[−4,4]. If M and m are the maximum and minimum values of f, respectively in [−4,4], then the value of M−m is :
If the expansion of (1 + x)m(1 − x)n , the coefficients of x and x2 are 3 and -6 respectively, then:
Let f(x)=2x−x2,x∈R. If m and n are respectively the number of points at which the curves y=f(x) and y=f′(x) intersects the x-axis, then the value of m+n is