2m2 + 7m - 5 please send me the ans
Answers
Answer:
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
((0 - 2m2) - 7m) - 5
STEP 2 :
STEP 3 Pulling out like terms
:
Pulling out like terms
3.1 Pull out like factors :
-2m2 - 7m - 5 = -1 • (2m2 + 7m + 5)
Trying to factor by splitting the middle term
3.2 Factoring 2m2 + 7m + 5
The first term is, 2m2 its coefficient is 2 .
The middle term is, +7m its coefficient is 7 .
The last term, "the constant", is +5
Step-1 : Multiply the coefficient of the first term by the constant 2 • 5 = 10
Step-2 : Find two factors of 10 whose sum equals the coefficient of the middle term, which is 7 .
-10 + -1 = -11
-5 + -2 = -7
-2 + -5 = -7
-1 + -10 = -11
1 + 10 = 11
2 + 5 = 7 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 2 and 5
2m2 + 2m + 5m + 5
Step-4 : Add up the first 2 terms, pulling out like factors :
2m • (m+1)
Add up the last 2 terms, pulling out common factors :
5 • (m+1)
Step-5 : Add up the four terms of step 4 :
(2m+5) • (m+1)
Which is the desired factorization
Final result :
(-m - 1) • (2m + 5)
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m has values equal to 20.5 and -29.25.
- A quadratic equation consists solely of integers, constants, and variables. In mathematics, a symbol (letter) without a value is referred to as a variable. Similar to that, it is known as a constant when its value is fixed.
- We employ the sum product form to divide the middle term of the quadratic equation. The equation's factors must be included in binomial parenthesis. We can use a quadratic equation to illustrate how to split the middle term.
- The splitting of terms is one technique for factoring the quadratic equation. When we are unable to square the first and last terms of the supplied quadratic expression, we can factorize the expression using a different strategy by dividing the centre term.
- When the centre term of a quadratic equation is split, we must rewrite it as the sum or difference of the two terms. In terms of the total or difference of the words, we must divide the middle term into two halves.
According to the given information, the expression is given as, .
Then, we get, by the formula that is, m = and b = .
Now, putting the values of a, b and c in the formulas, we get,
a = 2, b = 7, c = -5.
m = and
Or, m = 20.5 and -29.25
Hence, m has values equal to 20.5 and -29.25.
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