factorise 2x square - 15 x +22
Answers
Answer:
See the attachment
Step-by-step explanation:
hope this helps you
have a nice day
Step by step solution :
STEP
1
:
Equation at the end of step 1
(2x2 + 15x) + 22 = 0
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 2x2+15x+22
The first term is, 2x2 its coefficient is 2 .
The middle term is, +15x its coefficient is 15 .
The last term, "the constant", is +22
Step-1 : Multiply the coefficient of the first term by the constant 2 • 22 = 44
Step-2 : Find two factors of 44 whose sum equals the coefficient of the middle term, which is 15 .
-44 + -1 = -45
-22 + -2 = -24
-11 + -4 = -15
-4 + -11 = -15
-2 + -22 = -24
-1 + -44 = -45
1 + 44 = 45
2 + 22 = 24
4 + 11 = 15 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 4 and 11
2x2 + 4x + 11x + 22
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (x+2)
Add up the last 2 terms, pulling out common factors :
11 • (x+2)
Step-5 : Add up the four terms of step 4 :
(2x+11) • (x+2)
Which is the desired factorization
Equation at the end of step
2
:
(x + 2) • (2x + 11) = 0
STEP
3
:
Theory - Roots of a product
3.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
please mark me as brainlist