Q.15 Check whether g(x) is a factor of p(x) or not, where p(x)=8x² – 6x² –4x+3 and x 1 g(x)= 3 4 If both x- 2 and 2x – 1 are factors of px² +5x+r , show that p = r. Without actual division, prove that 2x* - 5x +2x² – x+2 is divisible by x - 3xr+2 < >

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.3: Dividing Polynomials
Problem 1E: If we divide the polynomial P by the factor xc and we obtain the equation P(x)=(xc)Q(x)+R(x) , then...
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Q.15
Check whether g(x) is a factor of p(x) or not, where p(x)=8x – 6x² –4x+3 and
1
g(x)=
3
4
If both x – 2 and 2x – 1 are factors of px+5x+r, show that p = r.
Without actual division, prove that 2x* - 5x +2x² – x+2 is divisible by x? – 3r+2
< >
Transcribed Image Text:Q.15 Check whether g(x) is a factor of p(x) or not, where p(x)=8x – 6x² –4x+3 and 1 g(x)= 3 4 If both x – 2 and 2x – 1 are factors of px+5x+r, show that p = r. Without actual division, prove that 2x* - 5x +2x² – x+2 is divisible by x? – 3r+2 < >
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