let p of x is equals to x square minus four x plus three . Find the value of p(0), p(1),p(2),p(3) and obtain zeroes of the following zeroes of the following polynomial p(x)
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Solution :
p(x) = x²-4x+3
i ) p(0) = 0²-4×0+3 = 3
ii ) p(1) = 1²-4×1+3 = 4-4 = 0
iii ) p(2) = 2²-4×2+3 = 7 - 8 = -1
iv ) p(3) = 3²-4×3 + 3 = 12 - 12 = 9
v ) p(x) = x²-4x+3
Let p(x) = 0
=> x²-4x+3 = 0
=> x² - x - 3x + 3 = 0
=> x( x - 1) - 3( x - 1 ) = 0
=> ( x - 1 )( x - 3 ) = 0
=> x -1 = 0 or x - 3 = 0
x = 1 or x = 3
Therefore ,
1 , 3 are zeroes of p(x)
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pls find the attached picture for the answer
Step-by-step explanation:
therefore 1and 3 are the zeroes of the polynomial p(x)
hope it helps you!
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