Find the value of k, if x - 1 is a factor of p(x) in each of the following cases:
p(x) = 2x²+ kx + $square root of 2$

Solution

p(x) = 2x²+ kx + $square root of 2$
If x - 1 is a factor of p(x), then p(1) = 0
| By Factor Theorem
$rightwards double arrow space space space space space 2 left parenthesis 1 right parenthesis squared plus straight k left parenthesis 1 right parenthesis space plus space square root of 2 space equals space 0 rightwards double arrow space space space space space 2 plus straight k plus square root of 2 equals 0 rightwards double arrow space space space space space space space space space straight k space equals negative left parenthesis 2 plus square root of 2 right parenthesis.$

Some More Questions From Coordinate Geometry Chapter

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Coordinate Geometry

Find the value of k, if x - 1 is a factor of p(x) in each of the following cases:
p(x) = 2x²+ kx + $square root of 2$

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Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.

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For Daily Free Study Material Join wiredfaculty

Coordinate Geometry

Find the value of k, if x - 1 is a factor of p(x) in each of the following cases:p(x) = 2x2 + kx +

Some More Questions From Coordinate Geometry Chapter

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.4x2 - 3x + 7

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.x10+ y3 + t50

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Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Find the value of k, if x - 1 is a factor of p(x) in each of the following cases:
p(x) = 2x²+ kx + $square root of 2$

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.

4x² - 3x + 7

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.

x¹⁰+ y³ + t⁵⁰

Write the coefficients of x² in each of the following:

2 + x² + x