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If H.C.F. and L.C.M. of two quadratic expression are (x-5) and x3 - 19x -30 then find the two expressions?
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If H.C.F. and L.C.M. of two quadratic expression are (x-5) and x3 - 19...
Since (x - 1) is the highest common factor between them, let the expressions be (x - 1)(x - a) and (x - 1)(x + b).
Now the least common multiple of these two expressions will be,
(x - 1)(x - a)(x - b) = x3 - 19x - 30
So 1,a,b are the roots of the given cubic equation
1 + a + b = 0 => a + b = -1
(1)(a)(b) = -30 => ab = -30
On solving the two equations we get a = 5, b = -6
Therefore the expressions are (x - 1)(x - 5) and (x - 1)(x + 6)
Now the least common multiple of these two expressions will be,
(x - 1)(x - a)(x - b) = x3 - 19x - 30
So 1,a,b are the roots of the given cubic equation
1 + a + b = 0 => a + b = -1
(1)(a)(b) = -30 => ab = -30
On solving the two equations we get a = 5, b = -6
Therefore the expressions are (x - 1)(x - 5) and (x - 1)(x + 6)
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If H.C.F. and L.C.M. of two quadratic expression are (x-5) and x3 - 19x -30 then find the two expressions?
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If H.C.F. and L.C.M. of two quadratic expression are (x-5) and x3 - 19x -30 then find the two expressions? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If H.C.F. and L.C.M. of two quadratic expression are (x-5) and x3 - 19x -30 then find the two expressions? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If H.C.F. and L.C.M. of two quadratic expression are (x-5) and x3 - 19x -30 then find the two expressions?.
If H.C.F. and L.C.M. of two quadratic expression are (x-5) and x3 - 19x -30 then find the two expressions? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If H.C.F. and L.C.M. of two quadratic expression are (x-5) and x3 - 19x -30 then find the two expressions? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If H.C.F. and L.C.M. of two quadratic expression are (x-5) and x3 - 19x -30 then find the two expressions?.
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