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Factorisation of Quadratic Polynomials- Middle Term Splitting

Using long di...

Question

Using long division method, divide the polynomial $4 p^{3} - 12 p^{2} - 37 p - 15; 2 p + 1$

A

2 p^{2} - 7 p - 15

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B

2 p^{2} + 7 p - 15

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C

2 p^{2} - 7 p + 15

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D

2 p^{2} + 7 p + 15

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Solution

The correct option is A $2 p^{2} - 7 p - 15$
$2 p^{2} - 7 p - 15$
$2 p + 1$ $4 p^{3} - 12 p^{2} - 37 p - 15$
$4 p^{3} + 2 p^{2}$
$- 14 p^{2} - 37 p - 15$
$- 14 p^{2} - 7 p$
$- 30 p - 15$
$- 30 p - 15$
$0$
$(4 p^{3} - 12 p^{2} - 37 p - 15) \div (2 p + 1) = 2 p^{2} - 7 p - 15$

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Similar questions

p

satisfies the equation

(3 p^{2} + 14 p + 24) - 2 (p^{2} + 7 p + 20) = 0

, what is one possible value of

3 p + 6

(4) \times (7 p)

(- 4 p) \times (7 p)

(- 4 p) \times (7 p q)

(4 p^{3}) \times (- 3 p)

(4 p) \times (0)

Q. Do the following subtractions as directed.
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(8 p + 9 k - 17)

(2 p q + 7 p - 8 q + 15)

^{1} P_{1} + 2 \cdot^{2} P_{2} + 3 \cdot^{3} P_{3} + \dots + 15 \cdot^{15} P_{15} =^{q} P_{r} - s, 0 \leq s \leq 1,

^{q + s} C_{r - s}

Q. Factorize:
(i)

y^{2} + 24 y + 144

p^{2} - 7 p - 44

3 x^{2} + 14 x + 15

44 x^{2} - x - 3

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