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प्रश्न
Factorise:
6x2 + 5x – 6
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उत्तर
We can find two numbers: pq = −36 and p + q = 5
They are p = 9 and q = −4
Here, 6x2 + 5x − 6
= 6x2 + 9x − 4x − 6
= 3x (2x + 3) − 2 (2x + 3)
= (2x + 3) (3x − 2)
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संबंधित प्रश्न
Use the Factor Theorem to determine whether g(x) is a factor of p(x) in the following case:
p(x) = x3 + 3x2 + 3x + 1, g(x) = x + 2
Find the value of k, if x – 1 is a factor of p(x) in the following case:
p(x) = x2 + x + k
Factorise:
x3 – 2x2 – x + 2
Find the Factors of the Polynomial Given Below.
2x2 + x – 1
Find the factor of the polynomial given below.
2m2 + 5m – 3
Factorize the following polynomial.
(x2 – x)2 – 8 (x2 – x) + 12
Factorize the following polynomial.
(x2 – 6x)2 – 8 (x2 – 6x + 8) – 64
Factorize the following polynomial.
(x – 3) (x – 4)2 (x – 5) – 6
Factorise:
6x2 + 7x – 3
Factorise:
1 + 64x3
