Divide the given polynomial by the given monomial-i 5 x2-6 x - 3 xii 3 y8-4 y6-5 y4 - y4iii 8x3 y2 z2-x2 y3 z2-x2 y2 z3 - 4 x2 y2 z2iv x3-2 x2-3 x - 2 xv p3 q6-p6 q3 - p3 q3

(i) 5x2 − 6x = x(5x − 6) (ii) 3y8 − 4y6 + 5y4 = y4(3y4 − 4y2 + 5) (iii) 8(x3y2z2 + x2y3z2 + x2y2z3) = 8x2y2z2(x + y + z) (iv) x3 + 2x2 + 3x = x(x2 + 2x + ...

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Byju's Answer

Standard VIII

Mathematics

Division of an Expression by a Monomial

Divide the gi...

Question

Divide the given polynomial by the given monomial.

(i) (5x² − 6x) ÷ 3x

(ii) (3y⁸− 4y⁶ + 5y⁴) ÷ y⁴

(iii) 8(x³y²z² + x²y³z² + x²y²z³) ÷ 4x²y²z²

(iv) (x³ + 2x² + 3x) ÷ 2x

(v) (p³q⁶ − p⁶q³) ÷ p³q³

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Solution

(i) 5x² − 6x = x(5x − 6)

(ii) 3y⁸ − 4y⁶ + 5y⁴ = y⁴(3y⁴ − 4y² + 5)

(iii) 8(x³y²z² + x²y³z² + x²y²z³) = 8x²y²z²(x + y + z)

(iv) x³ + 2x²+ 3x = x(x² + 2x + 3)

(v) p³q⁶− p⁶q³= p³q³(q³ − p³)

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Similar questions

Divide the given polynomial by the given monomial.

(3 y^{8} - 4 y^{6} + 5 y^{4}) \div y^{4}

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Q. Question 2(iii)
Divide the given polynomial by the given monomial

8 (x^{3} y^{2} z^{2} + x^{2} y^{3} z^{2} + x^{2} y^{2} z^{3}) \div 4 x^{2} y^{2} z^{2}

Q. Question 2(v)
Divide the given polynomial by the given monomial

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Divide the given polynomial by the given monomial
$(3 y^{8} - 4 y^{6} + 5 y^{4}) \div y^{4}$

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Divide the given polynomial by the given monomial. (i) (5x2 − 6x) ÷ 3x (ii) (3y8 − 4y6 + 5y4) ÷ y4 (iii) 8(x3y2z2 + x2y3z2 + x2y2z3) ÷ 4x2y2z2 (iv) (x3 + 2x2 + 3x) ÷ 2x (v) (p3q6 − p6q3) ÷ p3q3

(i) 5x2 − 6x = x(5x − 6) (ii) 3y8 − 4y6 + 5y4 = y4(3y4 − 4y2 + 5) (iii) 8(x3y2z2 + x2y3z2 + x2y2z3) = 8x2y2z2(x + y + z) (iv) x3 + 2x2 + 3x = x(x2 + 2x + 3) (v) p3q6− p6q3 = p3q3(q3 − p3)

Divide the given polynomial by the given monomial.

(i) (5x² − 6x) ÷ 3x

(ii) (3y⁸− 4y⁶ + 5y⁴) ÷ y⁴

(iii) 8(x³y²z² + x²y³z² + x²y²z³) ÷ 4x²y²z²

(iv) (x³ + 2x² + 3x) ÷ 2x

(v) (p³q⁶ − p⁶q³) ÷ p³q³

(i) 5x² − 6x = x(5x − 6)

(ii) 3y⁸ − 4y⁶ + 5y⁴ = y⁴(3y⁴ − 4y² + 5)

(iii) 8(x³y²z² + x²y³z² + x²y²z³) = 8x²y²z²(x + y + z)

(iv) x³ + 2x²+ 3x = x(x² + 2x + 3)

(v) p³q⁶− p⁶q³= p³q³(q³ − p³)