The function f(x)=3x3+3x2−5x+2𝑓(𝑥)=3𝑥3+3𝑥2−5𝑥+2 has factors (x+2)(𝑥+2)and (ax2 +bx+c)(𝑎𝑥2 +𝑏𝑥+𝑐).  What is the value of a+b+c𝑎+𝑏+𝑐?Responses

Question

The function f(x)=3x3+3x2−5x+2𝑓(𝑥)=3𝑥3+3𝑥2−5𝑥+2 has factors (x+2)(𝑥+2)and (ax2 +bx+c)(𝑎𝑥2 +𝑏𝑥+𝑐).  What is the value of a+b+c𝑎+𝑏+𝑐?Responses
🧐 Not the exact question you are looking for?Go ask a question

Solution 1

Para resolver el problema, primero debemos descomponer la función ( f(x) = 3x^3 + 3x^2 - 5x + 2 ) en sus factores dados: ( (x+2) ) y ( (ax^2 + bx + c) ).

  1. Sabemos que ( f(x) ) se puede escribir como: [ f(x) = (x+2)(ax^2 + bx + c) ]

  2. Expandimos el producto: [ f(x) = (x+2)(ax^2 + bx + 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

This problem has been solved

Similar Questions

The function f(x)=3x3+3x2−5x+2𝑓(𝑥)=3𝑥3+3𝑥2−5𝑥+2 has factors (x+2)(𝑥+2)and (ax2 +bx+c)(𝑎𝑥2 +𝑏𝑥+𝑐).  What is the value of a+b+c𝑎+𝑏+𝑐?Responses

Put the quadratic equation given into standard form to identify 𝑎, 𝑏, and 𝑐.−3𝑥2+5𝑥=7𝑎𝑥2+𝑏𝑥+𝑐=0

Put the quadratic equation given into standard form to identify 𝑎, 𝑏, and 𝑐.3𝑥2−3𝑥+7=0𝑎𝑥2+𝑏𝑥+𝑐=0

In a triangle PQR,∠R=π2, if tan(P2) and tan(Q2)𝑃𝑄𝑅,∠𝑅=𝜋2, if tan(𝑃2) and tan(𝑄2) are the roots of the equation  ax2+bx+c=0(a≠0)𝑎𝑥2+𝑏𝑥+𝑐=0(𝑎≠0) then

P(x)=x4−3x3+kx2−6x+14𝑃(𝑥)=𝑥4−3𝑥3+𝑘𝑥2−6𝑥+14, where k is an unknown real number.If (x−2)(𝑥−2) is a factor of this polynomial, what is the value of k?

1/3