Factories: a^2+14 x+45 - Vidyadip

Question

Factories:
$a^2+14 x+45$

✓

Answer

To factories $a ^2+14 x +45$, we will find two number p and q such that $p + q =14$ and $pq =45$
Now，
$9+5=14 \text { And } 9 \times 5=45$
Splittiong the middle term $14 x$ in the given quadratic as $9 x+5 x$, we get:
$a^2+14 x+45=x^2+9 x+5 x+45$
$=\left(x^2+9 x\right)+(5 x+45)$
$=x(x+9)+5(x+9)$
$=(x+5)(x+9)$

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

The weekly wages (in rupees) of 28 workers of a factory are given below:
668, 610, 642, 658, 668, 620, 719, 720, 700, 690, 710, 642, 672, 654, 692, 706, 718, 702, 704, 678, 615, 640, 680, 716, 705, 615, 636, 656.
Construct a frequency table with equal class intervals, taking the first of the class intervals as 610-630, where 630 is not included.

By using the formula, find the amount and compound interest on.
Rs. 6000 for 2 years at 9% per annum compounded annually.

By using the formula, find the amount and compound interest on.
Rs. 31250 for 3 years at 8% per annum compounded annually.

The count of bacteria in a certain experiment was increasing at the rate of 2% per hour. Find the bacteria at the end of 2 hours if the count was initially 500000.

The students of class VIII of a school donated Rs. 2401 for PM's National Relief Fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class.

Factorize of the following algebraic expressions:
$16(2 L-3 m)^2-12(3 m-2 L)$

Find the greatest common factor of the polynomial:
$2 x^2$ and $12 x^2$

Three taps A, B and C can fill an overhead tank in 6 hours, 8 hours and 12 hours respectively. How long would the three taps take to fill the empty tank, if all of them are opened together?

What is the smallest number by which 1600 must be divided so that the quotient is a perfect cube?

Divide the first polynomial by the second polynomial in the following. Also write the quotient and remainder:
$\frac{10\text{x}^2-7\text{x}+8}{5\text{x}-3}$