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3 years ago

Factor this polynomial expression.

Mathematics

1 answer:

Ivanshal [37]3 years ago

8 0

Answer:

B. (5x - 4)(3x + 2)

Step-by-step explanation:

Factor the following:

$\longrightarrow$ 15x² - 2x - 8

The coefficient of x² is 15 and the constant term is -8. The product of 15 and -8 is -120. The factors of -120 which sum to -2 are 10 and -12.

So,

$\longrightarrow$ 15x² + (10 - 12)x - 8

$\longrightarrow$ 15x² + 10x - 12x - 8

$\longrightarrow$ 5x(3x + 2) - 4(3x + 2)

$\longrightarrow$ (5x - 4)(3x + 2)

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3 years ago

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Which expression is equivalent to 2 (t-4) +1. A 2t-5 B.2t-7 C. 2t-9 D. 2t -3

seraphim [82]

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3 years ago

Use the quadratic formula to solve x2 + 9x + 10 = 0.<br> What are the solutions to the equation?

vampirchik [111]

Answer:

$\large\boxed{x=\dfrac{-9\pm\sqrt{41}}{2}}$

Step-by-step explanation:

$\text{The quadratic formula of}$

$ax^2+bx+c=0$

$\text{If}\ b^2-4a0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\=========================================$

$\text{We have}\ x^2+9x+10=0\\\\a=1,\ b=9,\ c=10\\\\\text{substitute:}\\\\b^2-4ac=9^2-4(1)(10)=81-40=41>0\qquad _{\text{two solutions}}\\\\\sqrt{b^2-4ac}=\sqrt{41}\\\\x=\dfrac{-9\pm\sqrt{41}}{2(1)}=\dfrac{-9\pm\sqrt{41}}{2}$

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3 years ago

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