Question
Find the factors of the polynomials given below: $3 y^2-2 y-1$
✓
Answer
$3 y^2-2 y-1$
$=3 y^2-3 y+y-1$
$=3 y(y-1)+1(y-1)$
$=(y-1)(3 y+1)$
$=3 y^2-3 y+y-1$
$=3 y(y-1)+1(y-1)$
$=(y-1)(3 y+1)$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
If each angle of a triangle is less than the sum of the other two, show that the triangle is acute-angled.
Convert the following ratios into percentages : $\quad \frac{5}{8}$
→Factorise:
$x^6-7 x^3-8$
→$x^6-7 x^3-8$
U = { 1, 3, 9, 11, 13, 18, 19}
B = {3, 9, 11, 13}
Find B' and draw the inference.
B = {3, 9, 11, 13}
Find B' and draw the inference.
Rationalise the denominator of the following:$\frac{1}{\sqrt{7}-\sqrt{6}}$
→If the sides of a triangle are produced in order, prove that the sum of the exterior angles so formed is equal to four right angles.
Evaluate:
$(99)^3$
→$(99)^3$
Classify the following polynomials as linear, quadratic and cubic polynomial.
i. $2 x^2+3 x+1$
ii. $5 p$
iii. $\sqrt{ } 2-\frac{1}{2}$
iv. $m^3+7 m^2+\sqrt[5]{2} m-\sqrt{7}$
V. $a^2$
vi. $3 r^3$
→i. $2 x^2+3 x+1$
ii. $5 p$
iii. $\sqrt{ } 2-\frac{1}{2}$
iv. $m^3+7 m^2+\sqrt[5]{2} m-\sqrt{7}$
V. $a^2$
vi. $3 r^3$
Find the following products:$\Big(\frac{2}{\text{x}}+3\text{x}\Big)\Big(\frac{4}{\text{x}^2}+9\text{x}^2-6\Big)$
→Total surface area of a box of cuboid shape is $500$ sq.unit. Its breadth and height is $6$ unit and $5$ unit respectively. What is the length of that box?
Given: For cuboid shape box,
breadth $(b) = 6$ unit, height $(h) = 5$ unit Total surface area $= 500$ sq. unit.
To find: Length of the box $(l)$
→Given: For cuboid shape box,
breadth $(b) = 6$ unit, height $(h) = 5$ unit Total surface area $= 500$ sq. unit.
To find: Length of the box $(l)$