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Show that (x – 3) is a factor of x3 – 7x2 + 15x – 9. Hence factorise x3 – 7x2 + 15 x – 9
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Show that (2x + 1) is a factor of 4x3 + 12x2 + 11 x + 3 .Hence factorise 4x3 + 12x2 + 11x + 3.
Concept: undefined >> undefined
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Show that 2x + 7 is a factor of 2x3 + 5x2 – 11x – 14. Hence factorise the given expression completely, using the factor theorem.
Concept: undefined >> undefined
Use factor theorem to factorise the following polynominals completely.
x3 + 2x2 – 5x – 6
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Use factor theorem to factorise the following polynominals completely. x3 – 13x – 12.
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Using the Remainder and Factor Theorem, factorise the following polynomial: x3 + 10x2 – 37x + 26.
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If (2x + 1) is a factor of 6x3 + 5x2 + ax – 2 find the value of a.
Concept: undefined >> undefined
If (3x – 2) is a factor of 3x3 – kx2 + 21x – 10, find the value of k.
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Find the value of ‘K’ for which x = 3 is a solution of the quadratic equation, (K + 2)x2 – Kx + 6 = 0. Also, find the other root of the equation.
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What number should be subtracted from 2x3 – 5x2 + 5x so that the resulting polynomial has 2x – 3 as a factor?
Concept: undefined >> undefined
Find the value of the constants a and b, if (x – 2) and (x + 3) are both factors of the expression x3 + ax2 + bx – 12.
Concept: undefined >> undefined
If (x + 2) and (x – 3) are factors of x3 + ax + b, find the values of a and b. With these values of a and b, factorise the given expression.
Concept: undefined >> undefined
If ax3 + 3x2 + bx – 3 has a factor (2x + 3) and leaves remainder – 3 when divided by (x + 2), find the values of a and b. With these values of a and b, factorise the given expression.
Concept: undefined >> undefined
If (2x – 3) is a factor of 6x2 + x + a, find the value of a. With this value of a, factorise the given expression.
Concept: undefined >> undefined
Find whether 55 is a term of the A.P. 7, 10, 13,... or not. If yes, find which term is it.
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How many terms of the A.P. 27, 24, 21, …, should be taken so that their sum is zero?
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In an A.P. (with usual notations) : given d = 5, S9 = 75, find a and a9
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In an A.P. (with usual notations) : given a = 8, an = 62, Sn = 210, find n and d
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The sum of first 15 terms of an A.P. is 750 and its first term is 15. Find its 20th term.
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Solve for x: 1 + 4 + 7 + 10 + ... + x = 287.
Concept: undefined >> undefined
