Download App

Factorisation of Polynomials — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsFactorisation of Polynomials2 Marks
Question
Factorise:
32x4 - 500x
✓

Answer

32x4 - 500x
= 4x(8x3 - 125)
= 4x[(2x)3 - (5)3]
= 4x[(2x - 5)[(2x)2 + 2x × 5 + (5)2] Since a3 - b3 = (a - b)(a2 + a × b + b2)
= 4x(2x - 5)(4x2 + 10x + 25)

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from Factorisation of Polynomials→Factorisation of Polynomials — all question types→Maths STD 9 question papers→Gujarat Board STD 9 question papers→Gujarat Board question paper generator→

Similar questions

Factorise:
3x2 - 14x + 8
→
Find the value of a for which (x - 4) is a factor of (2x3 - 3x2 - 18x + a).
→
The mean marks (out of 100) of boys and girls in an examination are 70 and 73 respectively. If the mean marks of all the students in that examination is 71, find the ratio of the number of boys to the number of girls.
→
Draw the graph of the linear equation 3x + 4y = 6. At what points, the graph cuts X and K-axes?
→
Simplify the following expression:

$(3+\sqrt{3})(5-\sqrt{2})$

→
Write the following in decimal form and say what kind of decimal expansion has.
$\frac{3}{11}$
→
Write the following in the expanded form:
(2 + x - 2y)2
→
Diagonals of a quadrilateral ABCD bisect each other. If $\angle\text{A}=35^\circ$ determine $\angle\text{B}.$
→
Is zero is rational number? Can you write it in the form $\frac{\text{p}}{\text{q}},$ where p and q are integers and $\text{q}\neq0?$
→
Factorise:
64a3 - 343
→