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Division of a Monomial by Another Monomial

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Question

Tick (✓) the correct answer:
(2x + 3)(3x − 1) = ?
(a) (6x² + 8x − 3)
(b) (6x² + 7x − 3)
(c) 6x²− 7x − 3
(d) (6x² − 7x + 3)

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Solution

(b) (6x² + 7x − 3)

$(2 x + 3) (3 x - 1) \Rightarrow (2 x) (3 x - 1) + (3) (3 x - 1) \Rightarrow 6 x^{2} - 2 x + 9 x - 3 \Rightarrow 6 x^{2} + 7 x - 3$

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Similar questions

Tick $(✓)$ the correct answer in each of the following:
$(2 x + 3) (3 x - 1) = ?$

(a) $(6 x^{2} + 8 x - 3)$
(b) $(6 x^{2} + 7 x - 3)$
(c) $6 x^{2} - 7 x - 3$
(d) $(6 x^{2} - 7 x + 3)$

Find the quotient and remainder when each of the polynomials below is divided by 2x + 1.

(i)

(ii)

(iii)

(iv)

(v)

(vi)

$Find the sum of$
$(11 x^{2} - 8 x + 4) and (6 x^{2} + 7 x - 10) .$

Q. 7x + 1 = 6x²

6 x^{2} + 7 x - 3

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