Question

factorize 3a^2-14a-17

Answer 1

Answer:

(3a-1)(a+1)

Step-by-step explanation:

3a²-14a-17

3a²+3a-17a-17

3a(a+1)-1(a+1)

(3a-1)(a+1)

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Answer 2

GIVEN:

• 3a² – 14a –17

TO FIND:

• Factorize the Quadratic Equation

SOLUTION:

We have,

• 3a² – 14a –17

We have three methods to find the roots of this Quadratic Equation – Factorization, Completing square and quadratic formula

We find the roots of Quadratic Equation by Factorization method.

According to the given conditions:-

$\bf{\longmapsto 3a^2 -14a-17 = 0 }$

$\sf{\longmapsto 3a^2 -(17-3)a -17=0 }$

$\sf{\longmapsto 3a^2 -17a+3a-17 }$

$\sf{\longmapsto a(3a-17) +1(3a-17) = 0 }$

$\sf{\longmapsto (a+1)(3a-17)=0 }$

$\sf{\longmapsto a+1=0}$

$\sf{\longmapsto 3a-17=0 }$

$\bf{\longmapsto a= -1}$

$\bf{\longmapsto a = \dfrac{17}{3} }$

❝ Hence, the roots of the Quadratic Equation are –1 and 17/3 ❞

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