Factories: a^2+3 a-88 - Vidyadip

Question

Factories:
$a^2+3 a-88$

✓

Answer

To factories $a^2+3 a-88$, we will find two numbers $p$ and $q$ such that $p+q=3$ and $p q=-88$
Now, $11+(-8)=3$
And $11 \times(-8)=-88$
Splitting the middle term $3 a$ in the given quadratic as $11 a-8 a$, we get:
$a^2+3 a-88=a^2+11 a-8 a-88$
$=\left(a^2+11 a\right)-(8 a+88)$
$=a(a+11)-8(a+11)$
$=(a-8)(a+11)$

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 "3 Mark Question" from Factorization→Factorization — all question types→Maths STD 8 question papers→Maharashtra Board STD 8 question papers→Maharashtra Board question paper generator→

Similar questions

Find the rate at which a sum of money will double itself in 3 years, if the interest is compounded annually.

Find the altitude of a trapezium whose area is $65 cm^2$ and whose bases are 13 cm and 26 cm .

Find the number of coins, 1.5cm in diameter and 0.2cm thick, to be melted to form a right circular cylinder with a height of 10cm and a diameter of 4.5cm.

A cycle was sold at a gain of 10%. Had it been sold for Rs. 260 more, the gain would have been 14%. Find the cost price of the cycle.

Using division of polynomials, state whether. $3 y^2+5$ is a factor of $6 y^5+15 y^4+16 y^3+10 y-35$

Solve the following equation and also check your result in case:
$\frac{7\text{y}+2}{5}=\frac{6\text{y}-5}{11}$

A, B and C working together can finish a piece of work in 8 hours. A alone can do it 20 hours and B alone can do it in 24 hours. In how many hours will C alone do the same work?

Express the following as a rational number of the form $\frac{\text{p}}{\text{q}}:$
$\frac{-8}{3}+\frac{-1}{4}+\frac{-11}{6}+\frac{3}{8}-3$

The marked price of a water cooler is Rs. 4650. The shopkeeper offers an off-season discount of 18% on it. Find its selling price.

Find the side of a cube whose volume is $\frac{24389}{216}\text{m}^3.$