Factorise fully 6m^2+8mp

Mathematics

1 answer:

vivado [14]3 years ago

8 0

Answer:

2m(3m+4p)

Step-by-step explanation:

Key Skills are: Factoring, GCF, and Simplifying

We have the expression 6 $m^{2}$ + 8mp.

1) We want to find the greatest factor among both terms (1 of the terms is 6m^2 and the other is 8mp).

2) Both of these terms have a factor of m, and both are divisible by 2.

3) Therefore, you can take out 2m and get 2m(3m+4p)

Hope you understood and have a nice day!! :D

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Which function has zeros at x = -2 and x = 5?

riadik2000 [5.3K]

Answer:

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Step-by-step explanation:

\begin{gathered}f(x) = x {}^{2} - 3x - 10 \\ to \: find \: x \: intercept \:o r \: zero \: substitute \: f(x) = 0\: \\ 0 = x {}^{2} - 3x - 10 \\ x {}^{2} - 3x - 10 = 0 \\ x {}^{2} + 2x - 5x - 10 = 0 \\ x(x + 2) - 5x - 10 = 0 \\ x(x + 2) - 5(x + 2) = 0 \\ (x + 2).(x - 5) = 0 \\ x + 2 = 0 \\ x - 5 = 0 \\ x = - 2 \\ x = 5\end{gathered}

f(x)=x

−3x−10

tofindxinterceptorzerosubstitutef(x)=0

0=x

−3x−10

−3x−10=0

+2x−5x−10=0

x(x+2)−5x−10=0

x(x+2)−5(x+2)=0

(x+2).(x−5)=0

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x−5=0