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प्रश्न
If x – 3 is a factor of p(x), then the remainder is
पर्याय
3
– 3
p(3)
p(–3)
उत्तर
If x – 3 is a factor of p(x), then the remainder is p(3)
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संबंधित प्रश्न
Find the value of ‘a’, if (x – a) is a factor of x3 – ax2 + x + 2.
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If (x - 2) is a factor of x3 − mx2 + 10x − 20 then find the value of m.
By using factor theorem in the following example, determine whether q(x) is a factor p(x) or not.
p(x) = x3 − x2 − x − 1, q(x) = x − 1
Prove by factor theorem that
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Prove that (5x - 4) is a factor of the polynomial f(x) = 5x3 - 4x2 - 5x +4. Hence factorize It completely.
If (3x – 2) is a factor of 3x3 – kx2 + 21x – 10, find the value of k.
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.
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.
Check if (x + 2) and (x – 4) are the sides of a rectangle whose area is x2 – 2x – 8 by using factor theorem
