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3 years ago

Anyone know how to factorise this please ?! :)

Mathematics

1 answer:

raketka [301]3 years ago

6 0

9514 1404 393

Answer:

a) (x +2)(x +3)

b) x = -2 or -3

Step-by-step explanation:

a) The constants in the binomial factors will be divisors of 6 that have a sum of 5. You know that ...

6 = 1×6 = 2×3

The sums of these factor pairs are 7 and 5. You want the pair 2, 3. The factors are ...

x² +5x +6 = (x +2)(x +3)

b) The solutions to the equation are the values of x that make the factors zero:

(x +2) = 0 ⇒ x = -2

(x +3) = 0 ⇒ x = -3

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What are the values of the coefficients and constant term of 0 = 4 – 7x2 + x in standard form?

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ANSWER

$a = - 7$

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EXPLANATION

The given quadratic equation is:

$0 = 4 - 7 {x}^{2} + x$

We rewrite in the standard quadratic equation form to obtain,

$- 7 {x}^{2} + x + 4 = 0$

Comparing this to the general standard quadratic equation.

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We have my

$a = - 7$

$b = 1$

$c = 4$

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