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If (x - 2) is the factor of polynomial p(x)=x³ 2x²-kx 10, then the value of k is?
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If (x - 2) is the factor of polynomial p(x)=x³ 2x²-kx 10, then the val...
Here, p(x) = x^3 + 2x^2 - kx + 10
For (x - 2) to be the factor of p(x) = x^3 + 2x^2 - kx + 10, p(2) = 0
Thus, (2)^3 + 2(2)^2 -k(2) + 10 = 0
8 + 8 - 2k + 10 = 0
k = 13
Thus p(x) becomes x^3 + 2x^2 - 13x + 10
Now, (x + 5) would be the factor of p(x) if p(-5) = 0
p(-5) = (-5)^3 + 2(-5)^2 - 13(-5) + 10
= -125 + 50 + 65 + 10 = 0
So, (x + 5) is also a factor of p(x) = x^3 + 2x^2 - 13x + 10.
For (x - 2) to be the factor of p(x) = x^3 + 2x^2 - kx + 10, p(2) = 0
Thus, (2)^3 + 2(2)^2 -k(2) + 10 = 0
8 + 8 - 2k + 10 = 0
k = 13
Thus p(x) becomes x^3 + 2x^2 - 13x + 10
Now, (x + 5) would be the factor of p(x) if p(-5) = 0
p(-5) = (-5)^3 + 2(-5)^2 - 13(-5) + 10
= -125 + 50 + 65 + 10 = 0
So, (x + 5) is also a factor of p(x) = x^3 + 2x^2 - 13x + 10.
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If (x - 2) is the factor of polynomial p(x)=x³ 2x²-kx 10, then the value of k is?
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If (x - 2) is the factor of polynomial p(x)=x³ 2x²-kx 10, then the value of k is? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If (x - 2) is the factor of polynomial p(x)=x³ 2x²-kx 10, then the value of k is? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If (x - 2) is the factor of polynomial p(x)=x³ 2x²-kx 10, then the value of k is?.
If (x - 2) is the factor of polynomial p(x)=x³ 2x²-kx 10, then the value of k is? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If (x - 2) is the factor of polynomial p(x)=x³ 2x²-kx 10, then the value of k is? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If (x - 2) is the factor of polynomial p(x)=x³ 2x²-kx 10, then the value of k is?.
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