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2 years ago

How do you factor quadratics trinomials

1 answer:

6 0

You can factor trinomials by taking factors of the lead term (x^2) and using them in the front of a set of parenthesis. For instance, if you had 2x^2 as the first term, you would use (2x _____)(x______).

Now to find what goes at the end of the parenthesis, you take factors of the last number. Say our last number was -5, we could use -5 and 1 or 5 and -1. For the purpose of this, we'll use -5 and 1. This would give us (2x - 5)(x + 1).

Now, to be sure you've selected the right ones, you would multiply the two parenthesis together and see if the middle term matches the original equation.

(2x - 5)(x + 1)

2x^2 - 5x + 2x - 5

2x^2 - 3x - 5

So you'll notice that the middle term is -3. If this wasn't the original, you could try those numbers in a different order until you get the correct middle term.

You might be interested in

How many learners can enrol if there are 12 teachers and a ratio of teachers to learners is 30:1

VladimirAG [237]

Answer:

360 learners

Step-by-step explanation:

One way to solve these types of problems is that you could set up a proportion

learners/teachers = learners/teachers

Let x = no. of learners to enrol

30/1 = x/12

12(30) = x

x = 360 learners

5 0

2 years ago

Rhonda had a piece of ribbon that was 5 feet 3 inches long she removed a 5-inch piece to use in her art project what is the leng

Lynna [10]

The 5 ft. and 3 in. total to 63 in. So, you take away 5 in. from 63 in. and your total would be 58 in. (4 ft. 10 in.)

Answer: 58 inches or 4 feet 10 inches

Credit to: @Emanuel9

even when you don't see it,

God's working : )

6 0

2 years ago

The grade appeal process at a university requires that a jury be structured by selecting six individuals randomly from a pool of

romanna [79]

Answer: a) $\dfrac{3}{874}$

b) $\dfrac{30}{3059}$

c) $\dfrac{3575}{12236}$

Step-by-step explanation:

Given : Number of students : 11

Number of faculty members : 13

Total persons : $11+13=24$

Total number of ways to structure a jury of six people from a group of 24 people :-

$^{24}C_{6}=\dfrac{24!}{6!(24-6)!}=134596$

a) Number of ways of selecting a jury of all students :-

$^{11}C_{6}=\dfrac{11!}{6!(11-6)!}=462$

Then , the probability of selecting a jury of all students :-

$\dfrac{462}{134596}=\dfrac{3}{874}$

b) Number of ways of selecting a jury of all faculty :-

$^{13}C_{6}=\dfrac{13!}{6!(13-6)!}=462$

Then , the probability of selecting a jury of all students :-

$\dfrac{1716}{134596}=\dfrac{30}{3059}$

c) Number of ways of selecting a jury of two students and four faculty :-

$^{11}C_{2}\times^{13}C_{4}=\dfrac{11!}{2!(11-2)!}\times\dfrac{13!}{4!(13-4)!}=39325$

Then , the probability of selecting a jury of all students :-

$\dfrac{39325}{134596}=\dfrac{3575}{12236}$

3 0

2 years ago

Bella wants to tile a wall measuring 1.2 m by 2.16 m. She finds square tiles she likes with side lengths of 10 cm, 12 cm or 18 c

uysha [10]

Answer:

Step-by-step explanation:

1.2m = 120 cm

2.16 m = 216cm

120×216 =25920cm

2) 10×18 = 180

25920/180= 144

√144 = 12

8 0

2 years ago

Evaluate the expression 3.14(a2 + ab) when a = 3 and b = 4. (Input decimals only, such as 12.71, as the answer.)

soldier1979 [14.2K]

A= 3
b= 4

=3.14(a^2 + ab)
substitute the given a & b values in expression

=3.14((3)^2 + (3*4))
multiply inside parentheses

=3.14(9 + 12)
add inside parentheses

=3.14(21)
multiply

=65.94

ANSWER: 65.94

Hope this helps! :)

8 0

3 years ago