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GCD of Polynomials

Find the comm...

Question

Find the common factors of the given terms:
$14 p q, 28 p^{2} q^{2}$

14 p q

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14 p^{2} q

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14 p q^{2}

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p q

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Solution

The correct option is A $14 p q$
$14 p q$ , $28 p^{2} q^{2}$
The factors of $14 p q = 2 \times 7 \times p \times q$
The factors of $28 p^{2} q^{2} = 2 \times 2 \times 7 \times p \times p \times q \times q$
Thus, the common factors are $2 \times 7 \times p \times q = 14 p q$

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Find the common factors of the terms

(i) $12 x, 36$

(ii) $2 y, 22 x y$

(iii) $14 p q, 28 p^{2} q^{2}$

(iv) $2 x, 3 x^{2}, 4$

(v) $6 a b c, 24 a b^{2}, 12 a^{2} b$

(vi) $16 x^{3}, - 4 x^{2}, 32 x$

(vii) $10 p q, 20 q r, 30 r p$

(viii) $3 x^{2} y^{3}, 10 x^{3} y^{2}, 6 x^{2} y^{2} z$

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