Find the value of k for the polynomial g(x) = -4x^2+7x+k so that x+3 is a factor of the polynomial g.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.6: Factoring Quadratic Trinomials
Problem 61PFA
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Find the value of k for the polynomial g(x) = -4x^2+7x+k so that x+3 is a factor of the polynomial g.

Example provided below.

Given f(x) = -5x³ + 7x + k. Determine the value of k so that x-4 is a factor of the polynomial f.
-5x²-20x-73
X-4
-5+ 0x² + 7x +K
+
-6x² + 20x² ↓
-201²+7x
-20x² + 80X
&
-73x+k
-73x +292
K=292
K-292=0
K = 292
Transcribed Image Text:Given f(x) = -5x³ + 7x + k. Determine the value of k so that x-4 is a factor of the polynomial f. -5x²-20x-73 X-4 -5+ 0x² + 7x +K + -6x² + 20x² ↓ -201²+7x -20x² + 80X & -73x+k -73x +292 K=292 K-292=0 K = 292
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